Question

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 1

Answer:

A = 30°

Step-by-step explanation:

A= B-40°

=> B = A+40°

also, A= C-50°

=>C= A+50°

in ∆ABC, A+ B + C = 180°

put the value of B and C we get,

A + (A+ 40° ) + (A + 50°) = 180°

=> 3A = 180 - 90

=> A = 30°