Question

In angle ABC ,AB=AC A=2x and B=x+10 find the measure of all angles of ABC​

Answer 1

Answer:

∠A = 80° , ∠B = 50°  and ∠C = 50°

Step-by-step explanation:

In the given triangle AB = AC

Therefore ∠C = ∠B ( Angles opposite to congruent sides )

We know that sum of all measures of a triangle is 180°

So ∠A + ∠B + ∠C = 180°

2x + x + 10 + x + 10 = 180 ( substituted C = x + 10 since ∠C = ∠B )

4x = 180 - 20

4x = 160

x = 40

So ∠A = 2x = 2 x 40 = 80°

∠C = ∠B = x + 10 = 40 + 10 = 50°

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