Question

Given the figure below find the values of x and z

Answer 1

Part 1)
`x=8^o`

Part 2)
`z=69^o`

Explanation:

Part 1) Find the value of x

we know that

`(5x+71)^o=111^o` ----> by vertical angles

Solve for x

Subtract 71 both sides

`5x=111^o-71^o\\5x=40^o`

Divide by 5 both sides

`x=8^o`

Part 2) Find the value of z

we know that

`z^o+111^o=180^o` ---> by supplementary angles (form a linear pair)

Solve for z

Subtract 111 both sides

`z=180^o-111^o=69^o`