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 quadrilateral lie on the edge of the circle and are labeled as A, B, C, D. The interior angle B is labeled as left parenthesis 4 x minus 20 right parenthesis degrees. The angle D is labeled as x degrees.

140 degrees

Explanation:

At this point, we know that opposite angles in quadrilaterals equal 180 degrees. The opposit angles in this particular quadrilateral is D and B

D+B=180

x+(4x-20)=180

5x-20=180

5x=200

x=40

Now, It asks for the measurement of angle B, not what X equals, so we plug it into the equation.

4x-20

4(40)-20

160-20=140

140 degrees

I hope this helped you out and I wish you good luck on the rest!

-Aspen

before, trains worked using the steam engine. thus, it uses heat so it is crucial to apply heat balance. the steam engine absorbs energy during the stage of boiling water. so, this is the endothermic reaction. when the steam is used to work the piston, it has to release this energy through running the train. the excess energy is released as an exhaust to the chimney. this is the exothermic process because it releases energy to the surroundings.