In triangle $PQR$, the measure of angle $P$ is $(3x + 5)^\circ$, the …

Question

Prompt

In triangle

P QR

, the measure of angle

P

(3 x + 5)^{\circ}

, the measure of angle

Q

(2 x + 9)^{\circ}

, and the measure of angle

R

(4 y + 5)^{\circ}

. If side

QR

is extended through point

R

to point

S

, and the measure of angle

P R S

9 y^{\circ}

, what is the value of

x + y