SOLUTION: an isosceles trapezoid has consecutive side of lengths 10, 6, 10 and 14 find the measure to the nearest integer of each angle of the trapezoid

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Question 867053: an isosceles trapezoid has consecutive side of lengths 10, 6, 10 and 14 find the measure to the nearest integer of each angle of the trapezoid

Answer by josgarithmetic(39627) About Me  (Show Source):
You can put this solution on YOUR website!
If cut out the rectangle piece in the middle, you have on each end, a right triangle of sides 10, 4, and height. Cosine of the undisturbed corner of the trapezoid is 4%2F10.

u = measure of the undisturbed angle corner of trapezoid;
cos%28u%29=2%2F5
2u=2%2Aarccos%282%2F5%29 takes care of angle measures of both angles of the longer base.
u=66.42 degrees
2u=132.84 degrees
360-132.84=227.16
if v = the other angle, then v=227.16%2F2=113.58.

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Two base angles are 66.42 degrees each
and other two base angles are 113.58 degrees each
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