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**+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

#1**+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