Question

10 which statement about the figure shown below is true? a) it has both acute and right angles. b) it has both parallel and perpendicular lines. c) it has both obtuse angles and perpendicular line - segments. d) it has both acute and obtuse angles

Explanation:

Step1: Recall angle - types definitions

Acute angles are less than 90°, right - angles are 90°, and obtuse angles are greater than 90° and less than 180°. A trapezoid (the given figure) does not have right - angles in general.

Step2: Analyze parallel and perpendicular lines in a trapezoid

A trapezoid has one pair of parallel sides but no perpendicular sides in general.

Step3: Analyze angles in a trapezoid

A non - right trapezoid has both acute and obtuse angles.

Answer:

d) It has both acute and obtuse angles