SOLUTION: ABCD is an isosceles trapezoid with bases AB̅̅̅̅ and DC̅̅̅̅, and median EF̅̅̅̅. If m∠B = 106°, what is m∠D?

Question 1191752: ABCD is an isosceles trapezoid with bases AB̅̅̅̅ and DC̅̅̅̅, and median EF̅̅̅̅.
If m∠B = 106°, what is m∠D?
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!

In an isosceles trapezoid, the two angles on each base are congruent, so in this trapezoid angles A and B are congruent, and angles C and D are congruent.

In an isosceles trapezoid, the measures of the angles on opposite bases are supplementary (add to 180 degrees). So in this trapezoid the measures of angles B and D add to 180 degrees.

Simple arithmetic....

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