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

Question

asked Mar 19, 2018 170k views

2 Answers

Thamilan S · Answer 1 · 2018-03-25T17:12:45+0000

Answer:

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.