In triangle ABC, the measure of angle B is 45 degrees more than three times the measure of angle A. The measure of angle C is 60 degrees more than the measure of angle A. Find the measure of each angle.

Question

Mathematics

Fletcher Ritter

14 November, 22:29

In triangle ABC, the measure of angle B is 45 degrees more than three times the measure of angle A. The measure of angle C is 60 degrees more than the measure of angle A. Find the measure of each angle.

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Answers (1)

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Amore · Answer 1

A = 24, B = 72, C = 84 (All in degrees)

Step-by-step explanation:

Given triangle ABC,

angle B = 3A

angle C = 60 + A

(All in degrees)

Sum of angles in a triangle = 180 degrees, therefore

A + B + C = 180

A + 3A + 60 + A = 180

5A = 180 - 60

5A = 120

A = 120/5

A = 24

B = 3A = 3 * 24

B = 72

C = A + 60

C = 24 + 60

C = 84

Therefore measure of A, B, C are 24, 72 and 84 (all in degrees) respectively.