In the diagram below p is circumscribed about quadrilateral abcd

The correct answer option is 82°.

Step-by-step explanation:

We can see from the given diagram that the quadrilateral ABCD is inscribed in a circle.

Now using the property:

'Opposite angles in any quadrilateral inscribed in a circle are supplements of each other'. Which means that their measures add up to a total of 180 degrees.

Thus, ∠A + ∠C = 180°.

If ∠A = 100°, then ∠C =  180° - 98°.

Therefore, ∠C =  82°.

the answer is ! ?

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°