Q. 1104.0( 7 Votes )

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 :

Given: Z = 90°


X is 30° greater than Y


Formula Used/Theory:-


Angle sum property


Sum of all angles of triangle is 180°


Let Y be ‘a’


Then;


X = Y + 30°


X = a + 30°


Z = 90°


By angle sum property


X + Y + Z = 180°


(a + 30°) + a + 90° = 180°


2a + 120° = 180°


2a = 180° - 120° = 60°


a = = 30°


Y = a


Y = 30°


Result:- Measure of Y comes to be 30°


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