Find the measure of c. A. 136 B. 144 C. 123 D. 149

Mathematics

1 answer:

-BARSIC- [3]3 years ago

4 0

Answer:

Option (D)

Step-by-step explanation:

Given quadrilateral in the circle is a cyclic quadrilateral.

By using the property of cyclic quadrilateral,

"Sum of each pair of opposite angles is 180°".

In the given cyclic quadrilateral,

d + 57° = 180°

d = 180 - 57

d = 123°

Similarly, c + 31° = 180°

c = 180° - 31°

c = 149°

Therefore, Option (D) will be the answer.

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