Answer:
x = 19°
Step-by-step explanation:
First, let's remember the Opposite (or Vertical) Angle Theorem which states that angles directly opposite to each other are equal in magnitude. This is also displayed in the attached diagram.
Now that we know these angles are equal, we can set them equal to each other.
(x + 95)° = (6x)°
To simplify, and isolate x, we will subtract x from both sides.
(x + 95)° - x = (6x)° - x
95° = 5x°
Now, we will divide both sides by 5.
(95°)/5 = (5x°)/5
19° = x
So the answer is x = 19°!
