HELP NEEDED!!!

in the diagram of the trapezoid ABCD, AB = CD the measure of angle B is 40 degrees more than the measure http://www.castlelearning.com/review/Courses/geometry/MI19737.gif?v=20010725111704of angle A

what is the measure of angle A and B??

Question

HELP NEEDED!!!

in the diagram of the trapezoid ABCD, AB = CD the measure of angle B is 40 degrees more than the measure http://www.castlelearning.com/review/Courses/geometry/MI19737.gif?v=20010725111704of angle A 

what is the measure of angle A and B??

mathstudent55 · Answer

Since AB = CD, this is an isosceles trapezoid. That means that the two bottom angles are congruent and the two top angles are congruent. Also, the sum of the measures of the angles is (n - 2)180 = (4 - 2)180 = 360
x + 40 + x + 40 + x + x = 360
Solve for x
Then do x + 40

anonymous · Answer

so.. measure of angle A is 70 and B is 110?

mathstudent55 · Answer

Correct. You can check it yourself:
70 + 70 + 110 + 110 = 360, and
110 is 40 more than 70.

anonymous · Answer

thanks for your help!

mathstudent55 · Answer

wlcm