Answer:
x = 21 , ∠ QOR = 85°
Step-by-step explanation:
55° , 5x - 20 and 40° lie on a straight line and sum to 180°
sum the 3 angles, equate to 180 and solve for x
55 + 5x - 20 + 40 = 180
5x + 75 = 180 ( subtract 75 from both sides )
5x = 105 ( divide both sides by 5 )
x = [tex]\frac{105}{5}[/tex]
x = 21
substitute x = 21 into the expression for ∠ QOR
∠ QOR = 5x - 20 = 5(21) - 20 = 105 - 20 = 85°
