Angle PSR measures 99°. Point S has three lines extending from it. One line extends to point P, another to point Q, and the other to point R. Angle P S Q is (3 x + 18) degrees. Angle Q S R is (9 x minus 27) degrees. What is the measure of AnglePSQ in degrees? 9° 24° 45° 54°

Respuesta :

Answer:

45 degree

Step-by-step explanation:

We are given that

Angle PSR=99 degrees

Angle PSQ=(3x+18) degrees

Angle QSR=(9x-27)degrees

According to question

Angle PSR=Angle PSQ+angle QSR

Substitute the values

[tex]99=3x+18+9x-27[/tex]

[tex]12x-9=99[/tex]

[tex]12x=99+9=108[/tex]

[tex]x=\frac{108}{12}=9[/tex]

Substitute the value of x

Angle PSQ=[tex](3(9)+18)=45^{\circ}[/tex]

Hence, the measure of angle PSQ=45 degree

Answer:

C)45 degrees on the test in edge

Step-by-step explanation:

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