Q. 111

In a triangle ABC, the measure of angle A is 40° less than the measure of angle B and 50° less than that of angle C. Find the measure of A.

Answer :

Given: A is 40° less than B


A is 50° less than C


Formula Used/Theory:-


Angle sum property


Sum of all angles of triangle is 180°


Let A be ‘x’


Then;


A = B - 40°


x = B - 40°


B = x + 40°


A = C - 50°


x = C - 50°


C = x + 50°


By angle sum property


A + B + C = 180°


x + (x + 40°) + (x + 50°) = 180°


3x + 90° = 180°


3x = 180° - 90° = 90°


x = = 30°


A = x


A = 30°


Result:- Measure of A comes out to be 30°


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