NCERT Exemplar Solutions
Class 7 - Mathematics - Unit 5: Lines And Angles - Multiple Choice QuestionsQuestion 30
Class 7 - Mathematics - Unit 5: Lines And Angles - Multiple Choice Questions
Question. 30
In Fig. 5.25, lines PQ and ST intersect at O. If ∠POR = 90° and x:y = 3:2, then z = ?

(a)
(a) 126°
(b)
(b) 144°
(c)
(c) 136°
(d)
(d) 154°
Detailed Answer with Explanation:
x+y=90 (complementary in right angle). Ratio 3:2 ⇒ x=54, y=36. Then z=180−36=144°.