Then ∠ABC = 180°. Two pairs of allied or co-interior or conjoined angles : Angles marked 3 and 2 form one pair and angles marked 1 and 4 form another pair of allied angles. In each case, given below, draw a line through point P and parallel to AB : Solution: Steps of construction : (i) From P. draw a line segment meeting AB at (ii) With centre Q and some suitable radius draw an arc CD. Contact us on below numbers. (i) ∠3 and ∠6 (ii) ∠2 and ∠4 (iii) ∠3 and ∠7 (iv) ∠2 and ∠7 (v) ∠4 and∠6 (vi) ∠1 and ∠8 (vii) ∠1 and ∠5 (viii) ∠1 and ∠4 (ix) ∠5 and ∠7 Solution: (i) ∠3 and ∠6 are interior alternate angles. 1. Download NCERT Chapters and Books in pdf format. (v) (90 +a + b)° f Give reasons. Answer, Draw a line segment AB = 8 cm. (a) a line segment AB (b) arayAB ∠1 = ∠5;∠2 = ∠6;∠3 = ∠7 and ∠4 = ∠8 (iii) Co-interior or allied angles are supplementary : i. e. ∠3 + ∠5 = 180° and ∠4 +∠6 = 180°. Solution: Question 21. (iii) With centre P and same radius draw another arc meeting PQ at E. (iv) With centre E and radius equal to CD, cut this arc at F (v) Join PF and produce it to both sides to L and M. Then line LM is parallel to given line AB. RAY : It is a straight line which stats from a fixed point and moves in the same direction. (iv) Taking P and Q as curves, draw two arcs intersecting each other at D nnd join BD. The corners made by the intersection of two lines or line segments are called Angles. CONDITIONS OF PARALLELISM : If two straight lines are cut by a transversal such that: (i) a pair of alternate angles are equal, or (ii) a pair of corresponding angles are equal, or (iii) the sum of the interior angles on the same side of the transversal is 180°, then the two straight lines are parallel to each other. Answer, Draw a line segment of length 6 .4 cm. LINE : A line has length, but no breadth or thickness. Selina Concise Mathematics Class 7 ICSE Solutions Chapter 14 Lines and Angles @inproceedings{Ram2019SelinaCM, title={Selina Concise Mathematics Class 7 ICSE Solutions Chapter 14 Lines and Angles}, author={Ram}, year={2019} } Academic Partner. Answer, In the given figures, the arrows indicate parallel lines. The PDF of solutions prepare students to solve problems without any difficulty. (iv) Join BS and produce it to A. (ii) With centre B and some suitable radius, draw an arc meeting BC at P. (iii) With centre P and same radius cut off arcs PQ and QR. (ii) (15°) Steps of Construction: (i) Draw a line segment BC. (ix) Is 40° the complement of 60°? In the adjoining figure : ∠AOB + ∠BOC + ∠COD +∠DOE + ∠EOA = 360° (B) Adjacent angles : Two angles are said to be adjacent angles, if: (i) they have a common vertex, (ii) they have a common arm and (iii) the other arms of the two angles lie on opposite sides of the common arm. (ii) ∠2 and ∠4 (vi) ∠11 and ∠8 (ii) Mark a point P in AB such that AP = 5 cm. When a transversal cuts two given straight lines (refer the adjoining figure), the following pairs of angles are formed. Selina solutions for Concise Mathematics Class 7 ICSE chapter 14 (Lines and Angles (Including Construction of angles)) include all questions with solution and detail explanation. Acute angle : measures less than 90° 2. Solution: Steps of Construction : (i) Draw a line segment AB = 6.4 cm. Two angles are called supplementary angles, if their sum is two right angles i.e. Contact. (vii) ∠7 and ∠9 (iv) Join SB. (viii) ∠4 and ∠5 Draw a line segment AB = 5.8 cm. (ix) ∠4 and ∠6 (iii) ∠3 and ∠7 are corresponding angles. Refer to other chapters and books at other links (NCERT now providing you soft copies of all textbooks of all subjects from class first to twelfth online). State which angles are equal. Then ∠ABC = 15°. (ix) ∠5 and ∠7 POINT : A point: is a mark of position; which has no length, no breadth and no thickness. Solution: In questions 1 and 2, given below, identify the given pairs of angles as corresponding angles, interior alternate angles, exterior alternate angles, adjacent angles, vertically opposite angles or allied angles : Question 1. Selina Concise Class 7 Math Chapter 14 Lines And Angles Exercise 14B Solution EXERCISE 14B In questions 1 and 2, given below, identify the given pairs of angles as corresponding angles, interior alternate angles, exterior alternate angles, adjacent angles, vertically opposite angles or allied angles: (1) (i) Interior alternate angles This will clear students doubts about any question and improve application skills while preparing for board exams. 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Selina is the most famous publisher of ICSE textbooks. Use the adjacent figure, to find angle x and its supplement. State, true or false : (i) A line … Then ∠ABC = 165°. The two line segments, forming an angle, are called the arms of the angle whereas their common end-point is called the vertex of the angle. Answer, In the given figure, AB is perpendicular to BC at B. The adjoining figure shows a pair of adjacent angles : (i) they have a common vertex (O), (ii) they have a common ann (OB) and (iii) the other arms OA and OC of the two angles are on opposite sides of the common arm OB. (v) 165° (i) 10° and 80° (ii) 37° 28′ and 52° 33′ (iii) (x+ 16)°and(74-x)° (iv) 54° and \(\frac { 2 }{ 5 }\) of a right angle. In the adjoining figure, two straight lines AB and CD intersect each other at point 0. (iv) Name the angles marked by letters a, b, c, x and y. Selina Solutions Concise Mathematics Class 6 Chapter 24 Angles Solution: (i) In the given figure, Vertex = O Arms = OA and OB Angle … (i) A line segment 4 cm long can have only 2000 points in it. Mark a point P in AB such that PB = 3.6 cm. (v) Write the number of end points in 2. For Study plan details. (v) ∠6 and ∠8 (iv) ∠2 and ∠7 (ii) With centre B and some suitable radius draw arc meeting BC at P. (iii) With centre P and with same radius cut of arcs PQ, QR and then RS. Line segment: The shortest distance between any two point is called line segment. Updated ICSE Class 7 Mathematics Chapter 14 - Lines and Angles Selina Solutions are provided by Vedantu in a step by step method. (ix) Is 40° the complement of 60°? Give reason: Solution: (i) In figure (i), If lines are parallel, then 120°+ 50° =180° But there are co-interior angles ⇒170° = 180°. In the given figures, the directed lines are parallel to each other. The pair of angles which lie on the opposite sides of the point of intersection are called vertically opposite angles. Then ∠APQ = 30°. Reflex angle : measures between 180° and 360°. Solution: Question 7. (iii) 75° Steps of Construction : (i) Draw a line segment BC. Are the following pairs of angles supplementary? Which pair of the dotted line, segments, in the following figures, are parallel. Mathematics / Lines and Angles. Solution: Question 10. Need assistance? Question 2. Draw its perpendicular bisector. Two pairs of exterior alternate angles : Angles marked 5 and 8 form one pair, while angles marked 6 and 7 form the other pair of exterior alternate angles. 180″. Answer, Draw a line segment PQ = 6 cm. In this article, we are going to discuss the introduction of lines and angles, and topics covered under this chapter. 11. Solution: Steps of Construction : (i) Draw a line segment PQ = 6 cm. (b) non-collinear points? Copies of these textbooks may be downloaded and used as textbooks or for reference. (v) Join AB and produce it to R. Then ∠QAR = 60°, Question 4. Then ∠ABC = 22 \(\frac { 1 }{ 2 }\) ° or 22.5°. Write the complement of: Solution: Question 11. You can download the Selina Concise Mathematics ICSE Solutions for Class 7 with Free PDF download option. (vi) (110 – x – 2y)° Solution: (i) False : It has infinite number of points. Thus, (i) r = 60′ and l’ = 60″ (ii) 9 minutes 45 seconds = 9′ 45″ (iii) 85 degrees 30 minutes 15 seconds = 85° 30′ 15″ and so on. Access free tutor videos and make learning fun on LIDO learning. ∠3 = ∠6 and ∠4 = ∠5 [Interior alternate angles] ∠1 = ∠8 and ∠2 = ∠7 [Exterior alternate angles] (ii) Corresponding angles are equal: i.e. If students are looking for class 7 selina maths solutions, they are at the right place. Find the unknown angles. p° = q° = r°, find each. The detailed, step-by-step solutions will help you understand the concepts better and … Therefore, in order to prove that the given lines are parallel, show either alternate angles are equal or, corresponding angles are equal or, the co-interior angles are supplementary.