Answer:
G = 78°
H = 98°
Step-by-step explanation:
Opposite angles in a cylic quadrilateral are supplementary. Therefore:
G + E = 180°
Substitute
8x + 1 + 11x + 8 = 180°
Add like terms
19x + 9 = 180°
19x + 9 - 9 = 180° - 9
19x = 171
19x/19 = 171/19
x = 9
G = 8x + 1
Plug in the value
G = 8(9) + 1 = 73°
H + F = 180° (opposite angles of a cyclic quadrilateral is equal?
Plug in the values
6y - 4 + 5y - 3 = 180°
Add like terms
11y - 7 = 180
11y = 180 + 7
11y = 187
y = 187/11
y = 17
H = 6y - 4
Plug in the value of y
H = 6(17) - 4
H = 98°
