NCERT Exemplar Solutions
Class 7 - Mathematics - Unit 5: Lines And Angles - Multiple Choice Questions

Question 30

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°.