Quadrilateral ABCD is inscribed in this circle.What is the measure of angle B?Enter your answer in the box.
Accepted Solution
A:
Answer:132°Step-by-step explanation:We use the circle theorem which states that : Opposite angles in a cyclic quadrilateral add up to 180 . Now we know that angles ADC and ABC add up to 180. So : We make an equation and solve for x : x+(3x-12) = 180 4x-12 = 180 4x = 192 x = 48 Now we substitute the value of x into Angle B : 3(48) -12 = 144 - 12 = 132 Angle B = 132 °Hope this helped and have a good day