1. AOB is a straight line. Find x and also the measure of each angle.
с
(5x + 3)^
(x -9°
A
O
B
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Answer:
The angle which you have written as 180 - 2y = x because OA = OB (radii of the circle). So ∠OAB = ∠OBA.
∠(OAC + CAB) = y = 2x
x + ∠CAB = 2x which gives us ∠CAB = x.
Now summing up the angles in triangle OAB, we get x + 2x + 2x = 180 i.e. x = 36
Hope this helps :)
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