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Quadrilateral EFGH is an isosceles trapezoid. If mG is four times mH, what is mE?

 

 Mar 18, 2021

Best Answer 

 #1
avatar+141 
+1

in trapezoids, opposite angles are always supplementary (they add up to 180). and because this trapezoid is isoceles, we can create these equations:

 

g = 4h

g + h = 180

 

now we can use substitution to solve.

 

5h = 180

h = 36.

 

and we know angle h is equal to angle e, so the answer is just 36 degrees.

 

 

hope this helped! please let me know if you are confused about anything i did :)

 Mar 18, 2021
 #1
avatar+141 
+1
Best Answer

in trapezoids, opposite angles are always supplementary (they add up to 180). and because this trapezoid is isoceles, we can create these equations:

 

g = 4h

g + h = 180

 

now we can use substitution to solve.

 

5h = 180

h = 36.

 

and we know angle h is equal to angle e, so the answer is just 36 degrees.

 

 

hope this helped! please let me know if you are confused about anything i did :)

idyllic Mar 18, 2021

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