3 years ago

Quadrilateral ABCD is inscribed in this circle.

1 answer:

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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​ Quadrilateral ABCD ​ is inscribed in this circle.

Quadrilateral ABCD is inscribed in this circle.