The measure of angles of quadrilateral ABCD form the arithmetic sequence ∠A, ∠B, ∠C, ∠D. If the measure of angle B is 72 degrees what is the degree measure of angle D?

Guest Aug 4, 2021

#1**+1 **

360 = b-d + b + b +d + b + 2d

360 = 4b + 2d

= 288+ 2d

d = 36 Angle D = b + 2d = 72 + 2(36) = 144 degrees

ElectricPavlov Aug 4, 2021