What is the value of x in the isoceles trapezoid shown below? If necessary, round your answer to two decimal places

Question

anonymous · Answer

@jim_thompson5910 @mathstudent55

anonymous · Answer

13 is equal to x

anonymous · Answer

the two angles are supplementary (equal to 180 when added together

anonymous · Answer

what? @zachy1234

anonymous · Answer

lol

anonymous · Answer

OHHH nevermind my bad! Hahah

jim_thompson5910 · Answer

we have this isosceles trapezoid

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jim_thompson5910 · Answer

since we're told it's isosceles, we know the two base angles A and B are congruent, so we can say 

angle B = angle A
angle B = 2x

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jim_thompson5910 · Answer

with any trapezoid, the angles that are part of the parallel sides are supplementary, so


angle B + angle C = 180

2x + 10x + 24 = 180

12x + 24 = 180

solve for x