Question

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

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°

Answer 2

The measure of angle A is 21 degrees.

The measure of angle B is 87 degrees.

The measure of angle C is 72 degrees.

What is the measure of each angle?

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.

Angle A = a

Angle B = 24 + 3a

Angle C = 51 + a

Value of a : a + 24 + 3a + 51 + a = 180

75 + 5a = 180

5a = 180 - 75

5a = 105

a = 21

Angle B = 24 + 3(21) = 87 degrees

Angle C = 51 + 21 = 72 degrees

To learn more about triangles, please check: https://brainly.com/question/22949981