Answer:
x = 6
∠PQR = 29
Step-by-step explanation:
Sum of interior angles in a triangle is 180,
15x - 4 + 4x + 5 + 65 = 180
15x + 4x + 5 - 4 + 65 = 180
19x + 1 + 65 = 180
19x + 66 = 180
19x = 180 - 66
19x = 114
x = 114 / 19
x = 6
∠PQR = 4x + 5
Substitute x = 6,
∠PQR = 4 ( 6 ) + 5
= 24 + 5
∠PQR = 29
