Question

16. In the figure above, DG is the angle bisector of measure of angle

Answer 1

Attached

Explanation:

Answer 2

The measure of angle GDE is 32 degrees

Explanation:

Part 16) 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

`(7x+4)\°=(9x-4)\°`

solve for x

`9x-7x=4+4`

`2x=8`

`x=4`

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