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# angles

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The largest interior angle in an isosceles trapezoid is 5 times the measure of the smallest interior angle. What is the measure, in degrees, of the smallest interior angle in the trapezoid?

Jan 1, 2021

### 3+0 Answers

#2
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Angles in a quadrilateral add up to 360. In this case, since it's an isosceles trapezoid, the 2 biggest angles are going to be congruent and so are the 2 smallest angles.

Therefore, we can set up an equation where x is equal to the smallest angle:

x+x+5x+5x=360

12x=360

x=30

Therefore, the angle of the smallest interior angle in the trapezoid is 30 degrees.

Jan 1, 2021
#3
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These angles will sum to  180°

that means

x  + 4x  = 180

5x  = 180

x = 36° measure of smaller interior angle Should be close

If you need a more in debt answer just ask

-wolfie

Jan 1, 2021
#4
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Good answer, but I think you misread the problem. It said that the bigger angle should be 5 times the measure of the smaller angle. Therefore,

x+5x=180

6x=180

x=30

textot  Jan 2, 2021