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Angle Sum Property

If ∠AOB = ∠BO...

Question

If ∠AOB = ∠BOC = ∠COD = 38°, then the reflex of ∠AOC is _____.

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∠ C O D

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∠

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AOB is a straight angle. Find the measures of the following angles.

∠

∠

∠

Q. In the given figure, AOB is a straight line. If ∠AOC = 4x° and ∠BOC = 5x°, then ∠AOC = ?
(a) 40°
(b) 60°
(c) 80°
(d) 100°

In the given figure, AOB is a straight line. If $∠ A O C = 4 x^{\circ}$ and $∠ B O C = 5 x^{\circ}$ then $∠ A O C = ?$

(a) $40^{\circ}$

(b) $60^{\circ}$

(c) $80^{\circ}$

(d) $100^{\circ}$

Q. In the given figure, AOB is a straight line. If ∠AOC + ∠BOD = 95°, then ∠COD = ?
(a) 95°
(b) 85°
(c) 90°
(d) 55°

In the given figure, $A O B$ is a straight line. If $∠ A O C = (3 x + 10)^{\circ}$ and $∠ B O C = (4 x - 26)^{\circ}$ , then $∠ B O C = ?$

(a) $96^{\circ}$

(b) $86^{\circ}$

(c) $76^{\circ}$

(d) $106^{\circ}$ .

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