Question

M∠RPS = 90°

Conclusion: m∠UPW = 90°.

Which of the statements supports the conclusion from the diagram and the GIVEN information?

Vertical angles are equal in measure.
Perpendicular lines meet to form right angles.
Adjacent angles whose exterior sides are perpendicular rays are complementary.
If two angles are complementary to the same angle then they are equal in measure

Answer 1

Perpendicular lines meet to form right angles

Explanation:

Line RU meet line SW at point P. Given m∠RPS = 90° (a right angle) then the lines are perpendicular, therefore, the other angles formed are also right angles, that is, m∠UPS = 90°, m∠UPW = 90° and m∠WPS = 90°.