Question

​ HELPP.

Quadrilateral ABCD ​ is inscribed in this circle.

What is the measure of angle B?

Enter your answer in the box.
m∠B= °

Answer 1

The measure of angle B is 132 degrees. A quadrilateral must add up to 360 degrees. You are given x and 3x-12. Half of a square's angles is 180. 4x-12 = 180 which x = 48.

Finally, you plug x in for 3x-12 and you get 132 degrees for B.

This assumes that DC and AB are of the same length

Answer 2

Answer:
`m\angle{B}=132^(\circ)`

Explanation:

In the given picture, we have given cyclic Quadrilateral ABCD ​which is inscribed in this circle.

We know that in cyclic quadrilateral the sum of the opposite angles is equals to
`180^(\circ)`

According to the given picture we have ,

`m\angle{D}+m\angle{B}=180^(\circ)\\\\\Rightarrow x+(3x-12)=180\\\\\Rightarrow x+3x-12=180\\\\\Rightarrow 4x=180+12\\\\\Rightarrow 4x=192\\\\\Rightarrow x=48`

Therefore,
`m\angle{B}=(3(48)-12)^(\circ)=132^(\circ)`