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​ HELPP.
Quadrilateral ABCD ​ is inscribed in this circle.

What is the measure of angle B?

Enter your answer in the box.
m∠B= °

HELPP Quadrilateral ABCD is inscribed in this circle What is the measure of angle B Enter your answer in the box mB class=

Respuesta :

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
JeanaShupp

Answer:  [tex]m\angle{B}=132^{\circ}[/tex]

Step-by-step 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 [tex]180^{\circ}[/tex]

According to the given picture we have ,

[tex]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[/tex]

Therefore, [tex]m\angle{B}=(3(48)-12)^{\circ}=132^{\circ}[/tex]

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