Answer:
Angle Q is 51°
Angle R is 96°
(x=5 and the exterior angle is 84°)
Step-by-step explanation:
Exterior Angle Theorem says that angle that's outside the triangle (extend a side and see the angle between the side extension and the side) IS Equal to the sum of the two angles that are farther away.
17x - 1 = 33 + 10x + 1
Get all the x's on one side of the equation.
17x-10x - 1 = 33 + 10x-10x+1
7x - 1 = 33 + 1
7x - 1 = 34 add 1 to both sides
7x = 35 divide by 7
7x/7 = 35/7
x = 5
Not finished ! Find Angle Q
10x+1 = 10(5)+1= 51°
Angle PRQ is insidethe triangle. All the angles of a triangle add up to 180°
33° + 51° + R = 180°
84° + R = 180°
R = 96°
