Question

What is the value of X in the isosceles trapezoid below?

Answer 1

Answer: 13

a p e x confirmed

Answer 2

D. 13

Explanation:

Remember that in a isosceles trapezoid, its angles on the base are always congruent.

Also, we know by definition that the sum of interior angles of a trapezoid is equal to 360°, so

`2(2x)+2(10x+24)=360\\4x+20x+48=360\\24x=360-48\\x=(312)/(24)\\ x=13`

Therefore, the right answer is D.