The angles given by the circle C,are and
.
To find ,we need to know
.
To find ,first find
(Apply Inscribed angle theorem)
(Substitute
)
(Multiply:
)
(Apply Angle sum theorem)
(Substitute
)
(Subtract 56 from each side)
(Simplify)
(Subtract:
)
(Substitute
)
(Divide each side by 2)
(Cancel common terms)
(Divide:
)
To find ,we need to know
.
To find ,first find
(Apply Inscribed angle theorem)
(Substitute
)
(Multiply:
)
(Apply Angle sum theorem)
(Substitute
)
(Subtract 220 from each side)
(Simplify)
(Subtract:
)
(Substitute
)
(Divide each side by 2)
(Divide:
)
The values are and
.