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# In trapezoid ABCD, sides overline AB and overline CD are parallel, angle A = 2 * angle D, and angle C = 3 * angle B. Find angle A.

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In trapezoid ABCD, sides overline AB and overline CD are parallel, angle A = 2 * angle D, and angle C = 3 * angle B. Find angle A.

Thanks!

AnonymousConfusedGuy  Mar 15, 2018

#1
+12247
+2

I looked this up:

The properties of the trapezoid are as follows:

The bases are parallel by definition.

Each lower base angle is supplementary to the upper base angle on the same side.

SO angle a + angle d = 180

angle a = 2d    substitute

2d +d = 180       d= 60

a= 2d = 120 degrees                                    This assumes your trapezoid is labeled    A            B

D                      C

ElectricPavlov  Mar 15, 2018
edited by Guest  Mar 15, 2018
Sort:

#1
+12247
+2

I looked this up:

The properties of the trapezoid are as follows:

The bases are parallel by definition.

Each lower base angle is supplementary to the upper base angle on the same side.

SO angle a + angle d = 180

angle a = 2d    substitute

2d +d = 180       d= 60

a= 2d = 120 degrees                                    This assumes your trapezoid is labeled    A            B

D                      C

ElectricPavlov  Mar 15, 2018
edited by Guest  Mar 15, 2018
#2
+935
+1

Thanks so much!

AnonymousConfusedGuy  Mar 15, 2018

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