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Question

If mOAB=50, then sum of angles x,y and z is


A
170
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B
160
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C
150
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D
180
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Solution

The correct option is A 170
Let's find the value of x,y and z
x=50
(AOB is an isoceles)
Hence,
x+y+50=180
y=180x50
y=80
Now,
z=y2
(The AOB subtended by the arc AB at the center is double the BCA=z, subtended by it at point C on the remaining part of the circle.)
z=802
=40
So,
x+y+z=50+80+40
=170

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