Answer :

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

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