Question

name:
practice:

1. what is the value of w? \twhat is the value of x?
2. what is the value of y? \t4. what is the value of z?

Explanation:

Step1: Find $w$ (supplementary angle)

$w + 111^\circ = 180^\circ$
$w = 180^\circ - 111^\circ = 69^\circ$

Step2: Find $x$ (triangle angle sum)

$x + w + 83^\circ = 180^\circ$
$x = 180^\circ - 69^\circ - 83^\circ = 28^\circ$

Step3: Find $y$ (supplementary angle)

$y + 83^\circ = 180^\circ$
$y = 180^\circ - 83^\circ = 97^\circ$

Step4: Find $z$ (supplementary angle to $x$)

$z + x = 180^\circ$
$z = 180^\circ - 28^\circ = 152^\circ$

Answer:

1. $w = 69^\circ$
2. $x = 28^\circ$
3. $y = 97^\circ$
4. $z = 152^\circ$