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Find the measure of PSQ in degrees

Find the measure of PSQ in degrees-example-1
User Jack Flamp
by
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2 Answers

3 votes
3x+18+9x - 27 = 99
12x - 9 = 99
12x = 108
x = 9
m<PSQ = 3x + 18
m<PSQ = 3(9) + 18
m<PSQ = 27 + 18
m<PSQ = 45

answer
C. 45
User ArunK
by
8.6k points
2 votes

Answer:

PSQ measures 45°

Explanation:

if PSR measures 99°

we have:


(3x+18)+(9x-27)=99

we isolate x


3x+9x=99-18+27=108


12x=108


x=9

an we replace 9 in


3x+18


3(9)+18=45

PSQ measures 45°

User Niall Connaughton
by
8.6k points