Geometry In triangle XYZ the measure of angle X is eight times the sum of the

measures of angles Y and 2 The measure of angle Y is three times the

measure of angle 2 What are the measures of the angles?

The measures of the angles are: x=160°, y=15°, and z=5°

Step-by-step explanation:

Consider the provided information.

The measure of angle X is eight times the sum of the measures of angles Y and 2

This can be written as:

x=8 (y+z)

The measure of angle Y is three times the measure of angle z.

y=3 (z)

Substitute the value of y in x=8 (y+z).

x=8 (3z+z)

x=32z

As we know the sum of interior angles of a triangle is 180°

x+y+z=180°

Substitute the value of x and y in above equation,

32z+3z+z=180°

36z=180°

z=5°

The measure of angle Y is:

y=3 (5°)

y=15°

Substitute the value of z=5° in x=32z

x=32 (5°)

x=160°

Hence, the measures of the angles are: x=160°, y=15°, and z=5°