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damaskus [11]
3 years ago
11

​ Quadrilateral ABCD ​ is inscribed in this circle.

Mathematics
1 answer:
Ilya [14]3 years ago
3 0
Hello,

When you have an inscribed quadrilateral, the opposite sides are supplementary.

So you can write and solve the following equation.
x + 6x + 19 = 180
7x + 19 = 180
7x = 161
x = 23

Now, plug in 23 for X and we will find the measurement of B.
6(23) + 19
138 + 19
157

The measure of angle B is 157 degrees. (The picture is not drawn to scale)

Good luck,
MrEQ
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