Question

In triangle ABC, the measure of angle B is 29 more than three times the measure of angle A. The measure of angle is 01" more than the measure of angle A. Find the measure of onch angle
Anglo Ameasures

Answer 1

Angle C is 31, Angle A is 30, and Angle B is 119.

Step-by-step explanation:

Answer 2

The measures of each of the angles in triangle ABC are

A = 18

B = 83

C = 79

Calculating the measure of angles

From the question, we are to determine the measure of each of the angles in triangle ABC

From the given information,

The measure of angle B is 29 more than three times the measure of angle A

That is,

B = 3A + 29 ------- (1)

Also, the measure of angle C is 61 more than the measure of angle A

That is,

C = 61 + A --------- (2)

We can also write that

A + B + C = 180 ----- (3) (Sum of angles in a triangles)

Put equations (1) and (2) into equation (3)

A + 3A + 29 + 61 + A = 180

5A + 90 = 180

5A = 180 - 90

5A = 90

A = 90/5

A = 18

Put the value of A into equation (1)

B = 3A + 29

B = 3(18) + 29

B = 54 + 29

B = 83

Put the value of A into equation (2)

C = 61 + A

C = 61 + 18

C = 79

Hence, the measures of each of the angles are

A = 18

B = 83

C = 79

Learn more on Calculating the measures of angles here: https://brainly.com/question/13611159

Here is the complete and correct question:

In triangle ABC, the measure of angle B is 29 more than three times the measure of angle A. The measure of angle C is 61 more than the measure of angle A. Find the measure of each angle.

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