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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

Best Answer 

 #1
avatar+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: 

2+0 Answers

 #1
avatar+12247 
+2
Best Answer

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
avatar+935 
+1

Thanks so much!

AnonymousConfusedGuy  Mar 15, 2018

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