Question

1. read the following statements: i. the sum of the angles in all trapezoids is 360 degrees. ii. all trapezoids consist of exactly one pair of parallel sides. iii. all angles in a trapezoid must have a measure of 90 degrees or less. which of the above statements are true? i and ii only i and iii only i only ii only

Explanation:

Step1: Recall angle - sum property of quadrilaterals

All trapezoids are quadrilaterals. The sum of the interior angles of any quadrilateral is 360 degrees. So, statement I is true.

Step2: Recall the definition of a trapezoid

A trapezoid is defined as a quadrilateral with exactly one pair of parallel sides. So, statement II is true.

Step3: Analyze angle - measure in trapezoids

Trapezoids can have angles greater than 90 degrees (obtuse - angled trapezoids). So, statement III is false.

Answer:

A. I and II only