OpenStudy (anonymous):

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

4 years ago
OpenStudy (anonymous):

@jim_thompson5910 @mathstudent55

4 years ago
OpenStudy (anonymous):

13 is equal to x

4 years ago
OpenStudy (anonymous):

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

4 years ago
OpenStudy (anonymous):

what? @zachy1234

4 years ago
OpenStudy (anonymous):

lol

4 years ago
OpenStudy (anonymous):

4 years ago
OpenStudy (jim_thompson5910):

we have this isosceles trapezoid |dw:1359064418373:dw|

4 years ago
OpenStudy (jim_thompson5910):

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 |dw:1359064628522:dw|

4 years ago
OpenStudy (jim_thompson5910):

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

4 years ago