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In the diagram ST PQ reflex angle SRQ 198o and ... - WAEC Mathematics 2013 Question

In the diagram, ST//PQ reflex angle SRQ = 198o and < RQp = 72o. Find the value of y
A
18o
B
54o
C
87o
D
92o
correct option: b
R +198 = 360(angles at a point)

R = 360 - 198 = 162o

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 = 54o
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