Question

angle psr measures 99°. what is the measure of ∠psq in degrees? (3x + 18)° (9x - 27)°

Explanation:

Step1: Set up equation

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

Step2: Combine like - terms

$12x-9 = 99$

Step3: Solve for x

$12x=108$, so $x = 9$

Step4: Find measure of ∠PSQ

Substitute x into $3x + 18$: $3\times9+18=27 + 18=45$

Answer:

$45^{\circ}$