Question

In a triangle ABC, the measure of angle A is 40⁰ less than the measure of angle B and 50⁰ less than of angle C. Find the measure of angle A.
Step by Step Full Process Required.
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Answer 1

Answer:

A = 30°

Step-by-step explanation:

Given:

In triangle ABC,

A = B - 40°

=> B = A + 40°

A = C - 50°

=> C = A + 50°

To find : A = ?

Sum of three angles of the triangle = 180°

A + B + C = 180°

A + A + 40° + A + 50° = 180°

3A + 90° = 180°

3A = 90°

A = 90°/3 = 30°

Hope it helps you:)