SOLUTION: I am given a trapezoid, BARN, the measure of angle B is 60 degrees. The measure of angle A is 5x-15. If the measure of angle N is 3x-5, determine the measure of angle N and angle R

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Question 1073184: I am given a trapezoid, BARN, the measure of angle B is 60 degrees. The measure of angle A is 5x-15. If the measure of angle N is 3x-5, determine the measure of angle N and angle R.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Sum of the interior angles of a trapezoid is 360 degrees. Draw and label the points and angle measures. I assumed that side AR is parallel to side BN. A key is that measure of interior angle at point R is 180-%283x-5%29.

Angle at R:
-3x%2B175


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The sum of the angles are A and B is also 180 degrees.
(Assumed AR parallel to BN)
60%2B5x-15=180
5x=180-60%2B15
5x=135
highlight_green%28x=27%29


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Angle at N: 76 degrees
Angle at R: 180-76=104 degrees
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