Question

What are the values of angles G and H?

Answer 1

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°