Question

WILL FAN AND MEDAL!!:):)

Quadrilateral EFGH is inscribed inside a circle as shown below. Write a proof showing that angles H and F are supplementary.

Circle J is shown with an inscribed quadrilateral labeled EFGH.

Answer 1

@Livbug326

Answer 2

@tatumlee

Answer 3

Construct lines EJ and JG.
1/2 Angle EJG(F side) = Angle EHG....angle at the center is double the angle at the circumference.
1/2 Angle EJG(H side) = Angle EFG ....angle at the center is double the angle at the circumference.

But, Angle EJG(F side) + Angle EJG(H side) = 360 deg .....completely surround J
Therefore 1/2 Angle EJG(F side) + 1/2 Angle EJG(H side) = 360/2 = 180

Hence Angle EHG + Angle EFG = 180 and are therefore supplementary

Answer 4

THANK YOU SO MUCH!

Answer 5

could you help me with one more?

Answer 6

ill make a different listing