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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?

 Aug 4, 2021
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360 = b-d   + b    + b +d    + b + 2d

 360 = 4b + 2d

        = 288+ 2d

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

 Aug 4, 2021

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