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Answer:
<A0B is a linear pair
and linear pair = 180°
Therefore,
<AOC + <BOC = <AOB
(2x - 10) + (3x + 20) = 180
2x - 10 + 3x + 20 = 180
5x + 10 = 180
5x = 180 - 10
5x = 170
x = 34
Hence,
(2x - 10) = 2 × 34 - 10 = 58°
(3x + 20) = 3 × 34 + 20 = 122°
So,
<AOC + <BOC = <AOB
58° + 122° = 180°
180° = 180°
Ans- x = 34°
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