Quadrilateral abcd is inscribed in a circle. find the measure of angle d. show your work.

80°

Step-by-step explanation:

The opposite angles of an inscribed quadrilateral add up to 180.

(2x + 13) + (3x + 37) = 180

(2x + 3y) + (5y) = 180

Solving the first equation:

5x + 50 = 180

5x = 130

x = 26

Solving the second equation:

2x + 8y = 180

2(26) + 8y = 180

52 + 8y = 180

8y = 128

y = 16

5y = 80.  So ∠D = 80°.

the correct option is b

step-by-step explanation:

step-by-step explanation:

two pairs of adjacent sides are of equal length. this implies that one diagonal divides the kite into congruent triangles, and so the angles between the two pairs of equal sides are equal in measure. it also implies that the diagonals are perpendicular.