Geometry anyone? it’d be a big help

x=15

y=8

<QPR=39°

<QRP=60°

<Q=81°

Step-by-step explanation:

2x+9=x+24

2x-x=24-9

x=15

8y-4=4y+28

4y=32

y=8

<QPR=2x+9=2(15)+9=39

<QRP=8y-4=8(8)-4=60

<Q=180-39-60=81

x = 5, y = 8, *QPR = 19 degrees, *QRP= 12 degrees, *Q = 149 degrees

Step-by-step explanation:

since sides PQ and PS are congruent, and QR and QS are also congruent, this means that angle QPR and and SPR are also congruent

so, set these equal.

2x+9=x+24

solve for x

x = 5

angles QRP and and SRP are also congruent, so we also set these equal.

8y-4=4y+28

solve for y

y = 8

now they ask you what angle QPR is, so we plug in x.

2(5)+9= 19

so angle QPR=19

they also ask for angle QRP, so we plug in y.

8(8)-4=12

angle QRP= 12

now they ask you what angle Q is.

there are 3 angles in triangle PQR and we have 2 of them. all angles in a triangle add up to 180 degrees, so we subtract angle QRP and QPR from 180.

180-19 = 161 - 12 = 149

angle Q = 149 degrees

i rushed this, so if there are any mistakes then i apologize. have a good day

33

step-by-step explanation: g=6

honesty mood

step-by-step explanation: