Question

If angle GHI is equilateral and angle JHK is isosceles, what is the measure of angle JHK? A) 60 degrees B) 90 degrees C) 120 degrees D) 150 degrees

Answer 1

An equilateral triangle has all angles measuring 60 degrees, so angle GHI is 60 degrees. In an isosceles triangle, the measures of the two equal angles are the same. The measure of angle JHK, being an isosceles triangle, is also 60 degrees.

Step-by-step explanation:

An equilateral triangle has all angles measuring 60 degrees. Therefore, angle GHI measures 60 degrees.

In an isosceles triangle, two angles are equal. Since angle JHK is isosceles, the measures of angles JHK and KJH are equal.

Since angle KJH is 60 degrees, angle JHK also measures 60 degrees.

Therefore, the measure of angle JHK is 60 degrees, which corresponds to option A).

Learn more about Triangle Angles