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In the diagram below p is circumscribed about quadrilateral abcd

In the diagram below p is circumscribed about quadrilateral abcd-example-1

2 Answers

6 votes

Answer:

C. 82

Step-by-step explanation: i just took the test, good luck!

User Gamal A
by
7.2k points
6 votes

Answer:

The correct answer option is 82°.

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°.