SOLUTION: In quadrilateral ABCD, the measure of angle a is twice the measure of angle b, the measure of angle b is twice that of angle c, and the measure of angle c is twice that of angle D.
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Question 623107: In quadrilateral ABCD, the measure of angle a is twice the measure of angle b, the measure of angle b is twice that of angle c, and the measure of angle c is twice that of angle D. Find each angle measure. Answer by Earlsdon(6294) (Show Source):
You can put this solution on YOUR website! In any quadrilateral, the sum of the interior angles is 360 degrees, so angles
a+b+c+d = 360 degrees.
But a = 2b
and b = 2c
and c = 2d so...
b = 4d and
a = 8d so we have:
8d+4d+2d+d = 360
15d = 360 and
d = 24 degrees
c = 2(24) = 48 degrees and
b = 4(24) = 96 degrees and
a = 8(24) = 192 degrees.
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