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

i want to die

what the hell man, i just want the points lol

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.