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​ Quadrilateral ABCD ​ is inscribed in this circle.

What is the measure of angle B?


Enter your answer in the box.

m∠B=

°

Quadrilateral ABCD is inscribed in this circle. What is the measure of angle B? Enter your answer in the box. m B= class=

Verified Answer :

MissPhiladelphia

Assuming the sum of the  opposite angle would be 180. We can easily calculate for x and ultimately solve for the angle of B. We do as follows

B + D = 180
3x-12 + x = 180
4x - 12 = 180
4x = 192
x = 48 degrees

Therefore angle B would have a measurement of 132 degrees. Hope this helps.

boffeemadrid

Answer:

∠B=132°

Step-by-step explanation:

It is given that ​ Quadrilateral ABCD ​ is inscribed in this circle and we know that the sum of the opposite angles of the quadrilateral inscribed in the circle equals 180°.

Therefore, ∠D+∠B=180°

⇒\(x+(3x-12)=180\)

⇒\(4x=180+12\)

⇒\(4x=192^{\circ}\)

⇒\(x=48^{\circ}\)

Thus, the measure of ∠B is=\(3x-12=3(48)-12=144-12=132^{\circ}\)

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