In the diagram, ST||PQ reflex angle SRQ = 198° and < RQP = 72°. Find the val...
Question
In the diagram, ST||PQ reflex angle SRQ = 198° and < RQP = 72°. Find the value of y.
Options
A)
18°
B)
54°

C)
87°
D)
92°
The correct answer is B.
Explanation:
R +198 = 360(angles at a point)
R = 360 - 198 = 162°
C = 72(alternate angle), b + c = 180(angles or straight line)
b = 190 - c = 180 - 72 = 108
a + b = R = 162
a = R - b = 162 - 108
= 54, but a = y(alternate angles)
y = 54°
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R +198 = 360(angles at a point)
R = 360 - 198 = 162°
C = 72(alternate angle), b + c = 180(angles or straight line)
b = 190 - c = 180 - 72 = 108
a + b = R = 162
a = R - b = 162 - 108
= 54, but a = y(alternate angles)
y = 54°