# What is the measure of PSQ in degrees? Angle PSR measures 99°. A) 9 degrees B) 24 degrees C) 45 degrees D) 54 degrees

2 answers

###### Question:

What is the measure of PSQ in degrees? Angle PSR measures 99°.

A) 9 degrees

B) 24 degrees

C) 45 degrees

D) 54 degrees

A) 9 degrees

B) 24 degrees

C) 45 degrees

D) 54 degrees

## Answers

we know thatStep 1Find the value of xm∠PSR=[tex] 99 [/tex]°m∠PSR=[tex] (3x+18)+(9x-27) [/tex]°so[tex] 99 =(3x+18)+(9x-27) \\ 99=12x-9\\ 12x=108\\ x=9degrees [/tex]Step 2Find the value of m∠PSQm∠PSQ=[tex] (3x+18) [/tex]m∠PSQ=[tex] (3*9+18) [/tex]m∠PSQ=[tex] 45 [/tex]°thereforethe answer is the option C) 45 degrees

the answear to the equation would be 45 degrees

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