Question

find the measure of angle 5. 103° 5x + 3 2 3 6 8 5 7

Explanation:

Step1: Identify vertical - angles

Vertical angles are equal. The angle with measure $103^{\circ}$ and the angle adjacent to angle 5 (let's call it angle $y$) are vertical angles. So, $y = 103^{\circ}$.

Step2: Use linear - pair property

Angle $y$ and angle 5 form a linear - pair. The sum of angles in a linear - pair is $180^{\circ}$. Let the measure of angle 5 be $m\angle5$. Then $m\angle5+y = 180^{\circ}$.

Step3: Solve for angle 5

Substitute $y = 103^{\circ}$ into the equation $m\angle5 + y=180^{\circ}$. We get $m\angle5=180 - 103$.
$m\angle5 = 77^{\circ}$

Answer:

$77^{\circ}$