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Quadrilateral ABCD​ is inscribed in this circle. What is the measure of angle B?

Quadrilateral ABCD​ is inscribed in this circle. What is the measure of angle B?
asked 169k views
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Quadrilateral ABCD​ is inscribed in this circle.

What is the measure of angle B?

Quadrilateral ABCD​ is inscribed in this circle. What is the measure of angle B?-example-1
asked
User Ivan Virabyan
by
8.2k points

1 Answer

4 votes
The opposite angles of the quadrilateral add up to 180° so x+(3x-12)=180

Since 4x=192, x=48

So angle B equals 3(48)-12=132°
answered
User Jonathan D
by
8.1k points
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