In the diagram P, Q, R, S are points on the circle RQS = 30o....

WAEC 2006

In the diagram P, Q, R, S are points on the circle RQS = 30^o. PRS = 50^o and PSQ = 20^o. What is the value of x^o + y^o?

A. 260^o
B. 130^o
C. 100^o
D. 80^o

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Correct Answer: Option B

Explanation

Draw a line from P to Q

< PQS = < PRS (angle in the sam segment)

< PQS = 50^o

Also, < QSR = < QPR(angles in the segment)

< QPR = x^o

x + y + 5= = 180(angles in a triangle)

x + y = 180 - 50

x + y = 130^o

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In the diagram P, Q, R, S are points on the circle RQS = 30o....

Correct Answer: Option B

Explanation

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