Question

Please explain to me how to solve this.

Answer 1

65 degrees

Explanation:

Angles E and F are equal because sides EH and FG are equal.

This is a quadrilateral (it has 4 sides, 115 degrees each)

Then the sum of the four interior angles must be 360 degrees.

Subtracting (115 + 115) degrees from 360 yields 130 degrees.

The desired angle is half that, or 65 degrees.

Answer 2

65°

Explanation:

The angles of a quadrilateral all add up to 360°. When segments EH and FG are congruent, that means angles E and F are congruent and angles H and G are congruent. This also means that adding angles E and G or angles F and H will give you 360 ÷ 2, which is 180. Using this, just do 180 - 115 to get m∠G.