If TRAP is an isosceles trapezoid, what is the value of x?

A. 6
B. 32
C. 28
D. 22
E. 15
F. Cannot be determined

(Picture below.)

Question

If TRAP is an isosceles trapezoid, what is the value of x?



 		A.	6
 		B.	32
 		C.	28
 		D.	22
 		E.	15
 		F.	Cannot be determined

(Picture below.)

anonymous · Answer

attachment

mathstudent55 · Answer

In an isosceles trapezoid, the two angles of a leg are supplementary.
That means they add up to 180.

anonymous · Answer

(4x+12)=180?

directrix · Answer

The problem did not state which two sides of the trapezoid are congruent.

The theorem at work here is: If two parallel lines are cut by a transversal, same-side interior angles are supplementary.

directrix · Answer

I had to assume which two sides of the trapezoid are the parallel ones because the problem did not state which two sides are the congruent legs which caused the trapezoid to be isosceles.

anonymous · Answer

4x+12+2x=180
x=28
Thanks!

directrix · Answer

Glad to help.

anonymous · Answer

CAN YAL HELP ME flutterEN PLEASE