Question

In the figure above, DG is the angle bisector of angle FDE. If m angle 1 = 7x +4 and m angle 2 = 9 x - 4, what is the measure of angle GDE? Show your work

Answer 1

The measure of angle GDE is 32 degrees

Explanation:

We know that

If DG is the angle bisector of angle FDE

then

m∠1=m∠2 (both angles are equal)

substitute the given values

solve for x

Remember that

m∠GDE=m∠1

m∠1=(7x+4)°

substitute the value of x

m∠1=7(4)+4=32°

therefore

The measure of angle GDE is 32 degrees