Question

level 1: find the measures of x
1
2
variable

1. x
2. x

76°
107°

Explanation:

Step1: Recall linear - pair property

A linear - pair of angles sums to 180°.

Step2: Solve for x in the first case

For the first angle with one part 76°, we have the equation $x + 76^{\circ}=180^{\circ}$. Then $x=180^{\circ}-76^{\circ}$.
$x = 104^{\circ}$

Step3: Solve for x in the second case

For the second angle with one part 107°, we have the equation $x + 107^{\circ}=180^{\circ}$. Then $x=180^{\circ}-107^{\circ}$.
$x = 73^{\circ}$

Answer:

1. $104^{\circ}$
2. $73^{\circ}$