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Q.

In the figure, OA and OB are opposite rays if x=25°, what is the value of y?


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a

50°

b

63°

c

56°

d

23° 

answer is A.

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Detailed Solution

If x = 25 °
∴ 3x = 3× 25° = 75° But ∠AOC + ∠BOC = 180° (Linear pair)
∠AOC + 75° = 180° ⇒ ∠AOC = 180° - 75°
∠AOC = 105° 
∴ 2y + 5 = 105° 
2y = 105° - 5° = 100° 
y = 1002 = 50°  If x = 25 ° then y = 50°  Hence the value of y is 50°.
 
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