Question

I Really need help! I don’t understand this! Will give 100 points!

Quadrilateral OPQR is inscribed inside a circle as shown below. Which pairs, or pairs, of angles are supplementary.


Answer choices:

All 4 angles = 180

Can not be determined, there is not enough information given


All pairs combinations shown are supplementary

Answer 1

Answer:

angle O and angle Q and angle R and angle P are supplementay.

$m\angle P + m\angle R = 180\degree$

$m\angle O + m\angle Q = 180\degree$

Step-by-step explanation:

• Quadrilateral OPQR is inscribed inside a circle.

• -> Quadrilateral OPQR is cyclic quadrilateral.

• Opposite angles of a cyclic quadrilateral are supplementay.

• $\implies m\angle P + m\angle R = 180\degree$

• $\implies m\angle O + m\angle Q = 180\degree$