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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=
°
A quadrilateral inscribed in a circle. The vertices of the quadrilateral lie on the circle and are labeled A, B, C, and D in clockwise order. Angle B is left parenthesis 3 x minus 12 right parenthesis degrees. Angle D is x degrees.

Respuesta :

Answer:m∠B = 132°

Step-by-step explanation:

In a quadrilateral inscribed in a circle, opposite angles are supplementary. So, angle B + angle D = 180 degrees2Given angle B = 3x - 12 and angle D = x, substitute these into the equation33x - 12 + x = 1804Combine like terms: 4x - 12 = 1805Solve for x: 4x = 192, x = 486Substitute x back to find angle B: 3(48) - 12 = 132 degrees

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