Question

Find the values of x and z

Answer 1

1. z = 92°
2. x = 6

Explanation:

For x:

1. Write and algebraic equation: 92 + (9x + 34) = 180
2. Combine like terms: 126 + 9x = 180
3. Subtract 126 from each side, so it now looks like this: 9x = 54
4. Divide each side by 9 to cancel out the 9 next to x. It should now look like this: x = 6

For z:

1. Because the 92° angle and z make a vertical angle, 92° = z°

I hope this helps!

Answer 2

z = 92 degrees

x = 6

Explanation:

z and the angle that measures 92 degrees are vertical angles which means they are congruent. So, z = 92 degrees.

The total measure of all these angles is 360 degrees. Subtract 92*2 from 360 and divide the answer by 2. You get 88.

88 = 9x + 34

Solve for x.

x = 6