Quadrilateral abcd is inscribed in circle o. what is m∠b ? enter your answer in the box. ° a quadrilateral is inscribed in a circle o. the vertices of the quadrilateral lie on the edge of the circle and are labeled as a, b, c, and d. the interior angle a is labeled as left parenthesis 2 x minus 7 right parenthesis. the angle b is labeled as left parenthesis 2 x plus 3 right parenthesis. the angle c is labeled as left parenthesis x plus 4 right parenthesis.

Step-by-step explanation:

Step 1

Find the value of x

we know that

In an inscribed quadrilateral the opposites angles are supplementary

so

In this problem

substitute the values and solve for x

step 2

Find the measure of angle B

substitute the value of x

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step-by-step explanation:

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step-by-step explanation:

hihi so drawing these 2 triangles is fairly simple. all that's left is finding the height of each one. luckily, we have a side length and an angle, so there is a trig function we can use to solve for the height. the easiest one to use would be tangent, since we have 2/3 things needed to find and the third needed is what we are solving for. tan(73°) * 30 ~= 98.13 and tan(73°) * 35 ~= 114.45