NCERT Exemplar Solutions
Class 7 - Mathematics - Unit 6: Triangles - Problems and Solutions
Question 110

Question. 110

In triangle XYZ, the measure of angle X is 30° greater than the measure of angle Y and angle Z is a right angle. Find the measure of ∠Y.

Answer:

∠Y = 30°

Detailed Answer with Explanation:

Let ∠Y = y, ∠X = y + 30°, ∠Z = 90°. Then y + (y + 30) + 90 = 180 ⇒ 2y + 120 = 180 ⇒ y = 30°.