Answer: x = 13
Explanation:
To find the value of x, you have to find ∠QRP
∠QRP + ∠QRS = 180
∠QRP + 95 = 180
Subtract 95 from both sides
∠QRP = 85
∠RQP + ∠QPR + ∠QRP = 180 Definition of triangle
(4x + 3) + (3x + 1) + 85 = 180
Subtract 85 from both sides
(4x + 3) + (3x + 1) = 95
7x + 4 = 95
Subtract 4 from both sides
7x = 91
Divide 7 from both sides
x = 13