Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the quadrilateral.

A=

B=

C=

whosmans Mar 9, 2018

edited by
Guest
Mar 9, 2018

edited by Guest Mar 9, 2018

edited by Guest Mar 9, 2018

edited by Guest Mar 9, 2018

edited by Guest Mar 9, 2018

#1**+1 **

This is known as a cyclic quadrilateral.....its opposite angle sum to 180°

So.....angle A + angle C = 180 ......so we have

(3x + 53) + (2x - 68) = 180 simplify

5x - 15 = 180 add 15 to both sides

5x = 195 divide both sides by 5

x = 39

So A = 3(39) - 15 = 102°

D = 2(39) + 30 = 108°....and B is supplemental to this = 180- 108 = 72°

And C = 2(39) - 68 = 10°

CPhill Mar 9, 2018