Quadrilateral ABCD is inscribed in a circle. What’s the measure of angle B

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jgully02p40a4l jgully02p40a4l

03-03-2018
Mathematics

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Quadrilateral ABCD is inscribed in a circle. What’s the measure of angle B

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acworden72 acworden72 · Answer 1 · 2018-03-03T00:07:37+01:00

acworden72 acworden72

03-03-2018

When a quadrilateral is inscribed in a circle, the opposite angles are supplementary (they add up to 180 degrees)
x + 6x + 19 = 180
7x + 19 = 180
7x = 161
x = 23

Now substitute 23 for x.

6(23) + 19 = B
B = 157

I really hope this helps you =)

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