Question

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.

Answer 1

Answer:

$m$

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

$m$

substitute the values and solve for x

$(2x-7)+(x+4)=180\°$

$3x-3=180\°$

$3x=183\°$

$x=183\°/3=61\°$

step 2

Find the measure of angle B

$m$

substitute the value of x

$m$