In a triangle, the measure of the first angle is twice the measure of the second angle. the measure of the third angle is 8° less that the measure of the second angle. what is the measure of each angle? solve using the fact that the sum of the measures of the three angles of a triangle is 180°. show and check your work.

the measure of the first angle is 94 degrees

the measure of the second angle is 47 degrees

Let z represent the measure of the third angle is 39 degrees

Step-by-step explanation:

Let x represent the measure of the first angle.

Let y represent the measure of the second angle.

Let z represent the measure of the third angle.

The measure of the first angle is twice the measure of the second angle. This means that

x = 2y

The measure of the third angle is 8° less that the measure of the second angle. This means that

z = y - 8

that the sum of the measures of the three angles of a triangle is 180°. This means that

x + y + z = 180 - - - - - - - - -1

Substituting x = 2y and z = y - 8 into equation 1, it becomes

2y + y + y - 8 = 180

4y = 180 + 8 = 188

y = 188/4 = 47

x = 2y = 2 × 47 = 94 degrees

z = y - 8 = 47 - 8 = 39 degrees.

i hope it helps.And try to understand by yourself.By seeing this picture