Question

Given the figure below find the values of x and z

Answer 1

Answer:

Part 1) $x=8^o$

Part 2)$z=69^o$

Step-by-step 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

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