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Bunuel
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Given O is the circle center AOC has angle of 80
Then, x + y = half of 80 = 40 (B)
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If arc ABC in the circle above is 80°

80 = 2(X+Y)
(X+Y) = 40

IMO B
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Bunuel

If arc ABC in the circle above is 80°, then what is the value of x°+y°?

A. 30°
B. 40°
C. 45°
D. 50°
E. 80°

Concept : Angle made by the chord at the center is twice that of the angle made by it at any point on the circle

Let's assume center as O and construct the diagram shown below by drawing the chords. So the angle made by them at the center is 2x,2y.

<ABC = 2(x+y) = 80

Hence IMO B , 0.50 min
Attachments

PB04.PNG
PB04.PNG [ 12.62 KiB | Viewed 1545 times ]

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