Answer :
Answer:
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°