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:

Step-by-step explanation:

Sum of sides in triangle is 180°

A=B-40

B-40+B+C=180°

2B+C=220 this is eq1

A=C-50

C-50+B+C=180

2C+B=230 eq2

Solve 1 and 2,

Multiply eq 1 with 2

4B+2C=440

B+2C=230

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Changing signs

3B=210

B=70

So angle A will be B-40=30°

Hope it helps