Question

Ursula drew a polygon in which all the angles were obtuse. what kind of polygon could she have drawn?A. TrapezoidB. ParallelogramC. TriangleD. Pentagon

Answer 1

From the question, since all the angles in the polygon are obtuse, it means that all the angles are greater than 90 degrees but less than 180 degrees.

For a trapezoid, the anterior angles are obtuse, but the posterior angles are acute (less than 90 degree), so a trapezoid is wrong

For a parallelogram, it has two opposite acute angles and two opposite obtuse angles. So it's wrong too

For triangle, if a triangle has one obtuse angle, then the other two will be acute. This is also wrong

Hence the answer is a pentagon. A regular pentagon has each of its interior angle as 108 degree.

So, the answer is option D. Pentagon