Question

I need help with this please and thank you im just really confused

Answer 1

To find the values of x and z, apply the opposite angles theorem.

Opposite angles are angles that can be said to be non-adjacent angles formed by two intersecting lines.

Opposite angles are congruent.

• Measure of angle Z:

∠z and 110 are opposite angles.

Thus, we have:

m∠z = 110°

• Value of x:

Given that total measure of angles = 360

We have:

`(5x-20)=(360-110-110)/(2)`

Let's solve for x:

`\begin{gathered} 5x-20=(140)/(2) \\ \\ 5x-20=70 \\ \\ \text{Add 20 to both sides:} \\ 5x-20+20=70+20 \\ \\ 5x=90 \end{gathered}`

Divide both sides by 5:

`\begin{gathered} (5x)/(5)=(90)/(5) \\ \\ x=18 \end{gathered}`

ANSWER:

x = 18

z = 110°