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## Angles OPQ and RPS have the following measures: m∠OPQ = (x + 17)°, m∠RPS = (8x − 8)° Part A: If angle OPQ

Question

Angles OPQ and RPS have the following measures:

m∠OPQ = (x + 17)°, m∠RPS = (8x − 8)°

Part A: If angle OPQ and angle RPS are complementary angles, find the value of x. Show every step of your work. (4 points)

Part B: Use the value of x from Part A to find the measures of angles OPQ and RPS. Show every step of your work. (4 points)

Part C: Could the angles also be vertical angles? Explain. (4 points)

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Math Middle School
2 weeks
2022-12-24T16:49:14+00:00
2022-12-24T16:49:14+00:00 1 Answer
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## Answer ( 1 )

valueof x is 9. The measures of angles are m∠OPQ = 26°, and m∠RPS = 64°. The given angles also areverticalangles.## What are complementary angles?

complementary anglesare defined as when pairing of anglesadditionto 90° then they are called complementary angles.measures:complementaryangles,pairingof anglessumsup to 90° then they are called complementary angles.valueof x is 9.verticalangles.valueof x is 9. The measures of angles are m∠OPQ = 26°, and m∠RPS = 64°. The given angles also areverticalangles.complementary angleshere: