+0  
 
0
41
4
avatar

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
 #2
avatar+58 
+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.

 Jan 1, 2021
 #3
avatar+119 
+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

 Jan 1, 2021
 #4
avatar+58 
+1

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

36 Online Users

avatar
avatar
avatar