Answer:
Angle R is 127 degrees and Angle S is 53 degrees
Step-by-step explanation:
We know that adjacent angles in a parallelogram are supplementary, meaning that they add up to 180 degrees.
With this, we can create an equation to solve for x with the values given for Q and T
Q+T = 180
(3x+5)+(9x-17) = 180
12x -12 = 180
12x = 192
x = 16
Now we can find the angles of Q and T given the value of x
Q = (3x+5)
Q = (3*16+5)
Q = 53 degrees
T = (9x-17)
T = (9*16-17)
T = 127 degrees
Since opposite angles in a parallelogram are congruent,
angle S = angle Q and angle R = angle T
