Answer:
PS = 7
SQ = 7.125
m<QTR = 115
m<TQR = 32.5
Step-by-step explanation:
To find PS, you need to take the measurement from QR [stated in the problem] which is 7 feet.
To find SQ, you need to take the measurement from RT [stated in the problem as 3 9/16] and then multiply it by 2 as SQ is 2 times longer than RT, which means SQ = 7 1/8 or 7.125 [since it needs to be a decimal]
To find m<QTR, you need to take the measurement from m<RTS, and since those 2 angles together equal 180, you need to subtract 65 degrees [from m<RTS] from 180, resulting in 115 degrees.
To find m<TQR, you need to know that a triangle has 180 degrees within it. Then you need to find one angle. We know the wider angle, <T = 115 degrees, so then we have to do 180 - 115, which equals 65 [that is the total for the 2 remaining equal corners], then we just have to divide by 2, which equals 32.5 degrees.
