Question

M∠RPS = 90°

Answer 1

Answer:

Option A and B arecorrect

Step-by-step explanation:

Given: The measure of  m∠RPS=90°.

conclusion: m∠UPW=90°

solution: It is given that m∠RPS=90° and also m∠RPS is equal to m ∠UPW as they both form the vertical opposite angles.

Thus, m∠RPS=m∠UPW=90°.

Therefore, option A is correct.

Now, SP is perpendicular to RU and WP is perpendicular to RU, therefore Perpendicular lines meet to form the the right angles.

Therefore, m∠UPW=90°

Thus, option B is correct.

Answer 2

Answer:

Perpendicular lines meet to form right angles

Step-by-step 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°.