Question

choose all answers that describe the quadrilateral opqr if m∠o = 125°, m∠p = 45°, m∠q = 153°, and m∠r = 37°.

answer attempt 1 out of 2

□ parallelogram
□ quadrilateral
□ rectangle
□ rhombus
□ square
□ trapezoid

Explanation:

• Quadrilateral: A quadrilateral is a four - sided polygon. Since \(OPQR\) has four sides (\(\angle O\), \(\angle P\), \(\angle Q\), \(\angle R\) are angles of a four - sided figure), it is a quadrilateral.
• Trapezoid: A trapezoid is a quadrilateral with at least one pair of parallel sides. There is no information given about parallel sides in the problem statement to suggest it is a parallelogram (which has two pairs of parallel sides), rectangle (a parallelogram with four right angles), rhombus (a parallelogram with four equal sides), or square (a parallelogram with four equal sides and four right angles). So, based on the fact that it is just a four - sided figure with no information about the special properties of parallelograms, rectangles, rhombuses, or squares, it is a trapezoid (the most general form of a four - sided figure among the options, as a trapezoid is just a four - sided figure and the other options (parallelogram, rectangle, rhombus, square) have more specific properties).

Answer:

Quadrilateral, Trapezoid