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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

mRPS 90 Conclusion mUPW 90 Which of the statements supports the conclusion from the diagram and the GIVEN information Vertical angles are equal in measure Perpe class=

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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:

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°.

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