Question

Please see image below. What is the value of X in the figure to the right? What is the measure of angle DGC in the figure to the right?

Answer 1

x = 50

DGC: 130 degrees

Explanation:

x and the angle next to the angle x-10 are vertical angles are equal, so that means the two angles that add up to 90 are x and x-10.

x + x - 10 = 90

2x - 10 = 90

2x = 100

x = 50

The measure of angle DGC is:

180 - x

180 - 50

130