Question

Draw the trapezoid described. If such a trapezoid cannot be drawn, explain why not.

With three acute angles.

Short answer

A trapezoid with three acute angles cannot be drawn.

Step-by-step solution

Step 1. Apply the concept of the trapezoid.

A trapezoid, also called as a trapezium, is a flat closed shape having 4 straight sides, with one pair of parallel sides. The parallel sides of a trapezium are known as the bases, and its non-parallel sides are called legs.

Step 2. Step description.

An acute angle measure means less than 90 degrees.

Since a trapezoid has one pair of parallel lines and a trapezoid has two pairs of supplementary angles thus, the two acute angles cannot be supplementary.

So, the trapezoid cannot have three acute angles.

Step 3. Step description.

Since two acute angles cannot be supplementary therefore a trapezoid with three acute angles cannot be drawn.

Therefore, a trapezoid with three acute angles cannot be drawn.