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33 votes
Quadrilateral ABCD is inscribed in a circle. If angle B measures 112°, what is the measure of angle D?

User Morteza Tourani
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2.4k points

2 Answers

23 votes
23 votes

Answer:

68°

Explanation:

Since angles B and D are opposite each other, they are supplementary.

Quadrilateral ABCD is inscribed in a circle. If angle B measures 112°, what is the-example-1
User Tiamo Idzenga
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3.1k points
12 votes
12 votes

Answer:

68°

Explanation:

If a quadrilateral is inscribed in a cirle, the sum of its opposite angles is 180°. Angles B and D are opposite => B+D=180° => D=180°-B=180°-112°=68°

User Paul Kenjora
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2.9k points