Question

What does the measure of x equal?

Answer 1

Answer: 63 degrees.
1. The Vertical Angles Theorem marks “x” as equivalent to its opposite angle (Angle A).
2. Angle A is apart of a 90-45-45 right triangle (since Angle B is 90 degrees).
3. Angle A and C are equivalent because of the 45-45-90 relationship.
4. Angle C is the vertical angle of the angle measuring 63 degrees.
5. So Angle X=Angle A=Angle C= 63 degrees.