Step-by-step explanation:
Given that,
∠PSQ = 13x+7
∠QSR = 42x+8
We need to find the measure of angles.
We can use the property of linear pair. ATQ,
13x+7 + 42x+8 = 180 (Linear pair)
Taking like terms,
13x+42x = 180 - 7-8
55x = 165
x = 3
So,
∠PSQ = 13x+7 = 13(3) + 7 = 46°
∠QSR = 42x+8 = 42(3) + 8 = 134°
Hence, this is the required solution.
