In the given figure, AOB is a straight line. Find the measure of ∠AOC.
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Since AOB is a straight line, we have:
∠AOC + ∠BOC = 180°
We know from the figure that ∠BOC = 45°
Substituting the value of ∠BOC in above, we get:
⇒ ∠AOC + 45° = 180°
⇒ ∠AOC = 180° - 45°
⇒ ∠AOC = 135°
Thus, the measure of ∠AOC is 135°.
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