Answer:
x = 117°
Step-by-step explanation:
First, find the angle the supplements angle 101°.
Using the supplementary angle (angles that add up to 180°).
180° - 101° = 79°
We now have two interior angles inside the triangle, 38° and 79°.
A triangle's total angle measures 180° in total.
So,
? + 38° + 79° = 180°
? + 117° = 180
? = 180° - 117°
? = 63°
Now like the first step we did, use the supplementary angle theorem to find x.
x + 63° = 180°
x = 180° - 63°
x = 117°
