Answer:
m∠6 = 54°
Step-by-step explanation:
∠6 is equal to (5x + 9) because they are vertical angles. But, to be able to find the measure of ∠6, you will need to find the value of (5x + 9). So, since ∠5 is equal to (13x + 9) because they are Corresponding Angles, (5x + 9) and (13x + 9) are supplementary because they are a linear pair.
So:
m∠6 = 5x + 9 and
5x + 9 + 13x + 9 = 180°
18x + 18 = 180
18x = 162
x = 9
To find m∠6, plug in values:
m∠6 = 5x + 9
= 5(9) + 9
= 45 + 9
= 54°
