Question

Find x, y and z. I really need help!

Answer 1

• x = 74°
• y = 37°
• z = 25°

Explanation:

x° and 106° are same side interior angles, meaning they're supplementary and adds up to 180°. Therefore, you can find the value of x by:

`x+106=180\\\\x=180-106=74`

x° and 2y° are corresponding angles, meaning they're equal. Therefore, you can find the value of y by:

`x=2y\\\\2y=74\\\\y=(74)/(2) =37`

(4z + 6)° and the angle adjacent to x° are corresponding angles, meaning they're equal. Therefore, you can find the value of z by:

`4z+6=180-x\\\\4z=180-74-6\\\\4z=100\\\\z=(100)/(4) =25`