I have the following problem: In a triangle ABC, the

Jace Wright

Jace Wright

Answered question

2022-05-10

I have the following problem: In a triangle ABC, the measure of the angle formed by the external angle bisectors of B and C is equal to twice the measure of the angle A. Find out the value of angle A.
Can anyone suggest how to approach this example?

Answer & Explanation

kazneni3tr2b

kazneni3tr2b

Beginner2022-05-11Added 17 answers

Hint:
Directly from the question, we know that:
180 º B 2 = 180 º C 2 = 2 A
and we also know that:
A + B + C = 180 º
Tristan Meyers

Tristan Meyers

Beginner2022-05-12Added 5 answers

Meaning then that:
180 B 2 = 2 A B = 180 4 A
And:
180 C 2 = 2 A C = 180 4 A
Hence:
A + 180 4 A + 180 4 A = 180   A = 180 7

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