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vodka [1.7K]
2 years ago
12

For the cyclic quadrilateral ABCD, which statement is true? A) The sum measure of ∠A and ∠B equals 180°. B) The sum measure of ∠

A and ∠D equals 180°. C) The sum measure of ∠B and ∠D equals 180°. D) The sum measure of ∠C and ∠D equals 180°.

Mathematics
2 answers:
xz_007 [3.2K]2 years ago
7 0

Answer:

C

Step-by-step explanation:

kifflom [539]2 years ago
6 0
See the picture attached to better understand the problem

we know that
A quadrilateral is called Cyclic quadrilateral <span>if its all vertices lie on the circle.
</span><span>The opposite angles of a Cyclic - quadrilateral are supplementary
</span>so
∠A+∠C=180°
and
∠B+∠D=180°

therefore
the answer is
<span>C) The sum measure of ∠B and ∠D equals 180°</span>

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