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