In a trap. ABCD, AB∥CD. Calculate ∠C & ∠D if ∠A = 55° and ∠B = 70°

In a trapezoid, the angles on the same side of a line add up to 180 degrees. This is because they are supplementary angles.

Step 1: Calculate ∠C Since AB is parallel to CD, ∠A + ∠C = 180° (they are alternate angles). So, you can calculate ∠C by subtracting ∠A from 180°.

∠C = 180° - ∠A ∠C = 180° - 55° ∠C = 125°

Step 2: Calculate ∠D Similarly, since AB is parallel to CD, ∠B + ∠D = 180° (they are alternate angles). So, you can calculate ∠D by subtracting ∠B from 180°.

∠D = 180° - ∠B ∠D = 180° - 70° ∠D = 110°

So, ∠C = 125° and ∠D = 110°.