Question 2. In Fig. 6.14, lines XY and MN intersect at O. If ? POY = 90° and a : b = 2 : 3 Chapter 6: Lines and Angles Maths Class 9 solutions are developed for assisting understudies with working on their score and increase knowledge of the subjects. Question 2. In Fig. 6.14, lines XY and MN intersect at O. If ∠ POY = 90° and a : b = 2 : 3, find c. is solved by our expert teachers. You can get ncert solutions and notes for class 9 chapter 6 absolutely free. NCERT Solutions for class 9 Maths Chapter 6: Lines and Angles is very essencial for getting good marks in CBSE Board examinations
Question 2. In Fig. 6.14, lines XY and MN intersect at O. If
∠ POY = 90° and a : b = 2 : 3, find c.
Answer:
Let ∠ a = 2x, then ∠b = 3x
(sum of angle in linear pair always equal to 180° )
∠XOM + ∠MOP + ∠POY = 180°
∠b + ∠a + ∠POY = 180°
given that ∠POY = 90°
plug this value we get
3x + 2x + 90° = 180°
5x = 90°
x = 18°
a = 2x = 2 × 18 = 36°
b = 3x = 3 ×18 = 54°
MN is a straight line.
sum of angle in linear pair always equal to 180°
so that ∠b + ∠c = 180°
54° + ∠c = 180°
∠c = 180° − 54° = 126°
∠ c = 126°
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