Attempt following question by selecting a choice to answer.
c
PR is a line segment in the figure shown. Find the value of
y.
DD ccA.
c60
oB.
c40
oC.
c15
oD.
c75
o
c
B
Step 1: ∠PQR = ∠PQA + ∠AQB + ∠BQR
Step 2: 180o = (y + 35o) + 45o + (y + 20o)[Equation]
Step 3: 180o = 2y + 100o[Simplify]
Step 4: 180o - 100o = 2y + 100o – 100o[Subtract 100o from each side.]
Step 5: 80o = 2y[Simplify]
Step 6: 80o/2 = 2y2[Divide each side by 2.]
Step 7: 40o = y[Simplify]
Step 8: So, the value of y = 40o.