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

The measure of angle GDE is 32 degrees

Step-by-step 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

step-by-step explanation:

options

step-by-step explanation:

no, her answer is not correct.   we square the lengths of all sides and then determine whether the pythagorean theorem holds here:

9² + 15² = 306.   this is not equal to the square of the longest side ( that square being 395.   answer c is correct.