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?

Guest Jan 1, 2021

#2**+1 **

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.

textot Jan 1, 2021

#3**+1 **

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

wolfiechan Jan 1, 2021