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 the measures of the three angles in a triangle most total 180° find the measure of each angle

Question

Mathematics

Stewart

14 November, 13:55

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 the measures of the three angles in a triangle most total 180° find the measure of each angle

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Answers (1)

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Jayvon Williams · Answer 1

M∠A = x

m∠B = 3x+24

m∠C = x + 51

x + 3x+24 + x + 51 = 180

5x + 75 = 180

5x = 180 - 75

5x = 105

x = 105/5

x = 21

m∠A = x = 21°

m∠B = 3x+24 = 3*21 + 24 = 87°

m∠C = x + 51 = 21 + 51 = 72°