In triangle​ ABC, the measure of angle B is 24° more than three times the measure of angle A. The measure of angle C is 51° more than the measure of angle A. Find the measure of each angle.

Mariyah Bell

Mariyah Bell

Answered question

2022-10-31

In triangle​ ABC, the measure of angle B is 24 more than three times the measure of angle A. The measure of angle C is 51 more than the measure of angle A. Find the measure of each angle.

Answer & Explanation

relatatt9

relatatt9

Beginner2022-11-01Added 12 answers

Let
Given data
B = 3 a + 24 L C = 51 C = 51 + A
the triangle 3 angles is = 180
So A + B + C = 180
a + 3 a + 24 + 51 + a = 180 5 a + 75 = 180 5 a = 180 75 = 105 a = 105 5 = 21 B = 3 ( 21 ) + 24 = 87 C = 51 + 21 = 72

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