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 In the diagram, ST||PQ reflex angle SRQ = 198° and < RQP = 72°. Find the ...


Question

 

mathematics-23

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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Dicussion (1)

  • 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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