Question

HELP PLEASEEEE!!!!

If PQRS is a quadrilateral inscribed in a circle then the opposite angles of the quadrilateral are_____?

The values of x and y are _____ degrees and ______ degrees respectively.

Answer 1

x: 98 y: 112

Explanation:

Supplementary angles add up to 180 so:

x + 82 = 180

x = 98

And:

y + 68 = 180

y = 112

Answer 2

supplementary, 98°, 112°

Explanation:

Opposite angles of a quadrilateral inscribed in a circle are supplementary, i.e., they add up to 180°.

∴ x° + 82° = 180°

x = 180° - 82°

x = 98°

y° + 68° = 180°

y = 180° - 68°

y = 112°