If QRS = MNP, QR = 11, QS = 15, MP = 2x + 1, S = 84, R = 32, and M = (17y - 4),

find the values of x and y.

pls answer quick

Respuesta :

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