Question

CDEF is inscribed in circle G. Solve for

and y.
F
110°
(x+38)
(6y-44)
E

Answer 1

x=65, y=19

Explanation:

When a quadrilateral is inside a circle, the angles that lie opposite each other have a sum of 180 degrees.

∠E+∠C=180°

(6y-44)°+110°=180°

(6y-44)°=70°

6y-44=70

6y=114

y=19

∠F+∠D=180°

(x+38)°+77°=180°

(x+38)°=103°

x+38=103

x=65