Answer:
x = 7 and y = 4
Step-by-step explanation:
If QRS = MNP, then QR = MN, RS = NP and QS = MP
Given
QR = 11
QS = 15
MP = 2x + 1
Recall that QS = MP
15 = 2x+1
2x = 15-1
2x = 14
x = 14/2
x = 7
Similarly
<Q = <M
<Q + <R + <S = 180
<Q + 32 + 84 = 180
<Q + 116 = 180
<Q = 180 - 116
<Q = 64 degrees
Since <M = 17y - 4
64 = 17y - 4
17y = 64+4
17y = 68
y = 68/17
y = 4
Hence x = 7 and y = 4