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# If ∠EOD = 80°, and ∠BOF = 30°, what is the measure of ∠AOC?

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Joined: 02 Sep 2009
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If ∠EOD = 80°, and ∠BOF = 30°, what is the measure of ∠AOC?  [#permalink]

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01 Aug 2017, 04:37
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Difficulty:

15% (low)

Question Stats:

95% (00:46) correct 5% (00:00) wrong based on 31 sessions

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If ∠EOD = 80°, and ∠BOF = 30°, what is the measure of ∠AOC?

(A) 50°
(B) 60°
(C) 70°
(D) 80°
(E) 90°

Attachment:

2017-08-01_1347_001.png [ 6.88 KiB | Viewed 828 times ]

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Re: If ∠EOD = 80°, and ∠BOF = 30°, what is the measure of ∠AOC?  [#permalink]

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01 Aug 2017, 04:43
Since ∠BOF = 30°, ∠AOE = 30°(alternate angles)
Also, we know that ∠EOD = 80°

Rule : Sum of angles in a straight line is 180 degree

∠COD = ∠AOE + ∠EOD + ∠AOC = 180°
Therefore, ∠AOC = 180 - 30 - 80 = 70°(Option C)
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Re: If ∠EOD = 80°, and ∠BOF = 30°, what is the measure of ∠AOC?  [#permalink]

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02 Aug 2017, 13:48
Bunuel wrote:

If ∠EOD = 80°, and ∠BOF = 30°, what is the measure of ∠AOC?

(A) 50°
(B) 60°
(C) 70°
(D) 80°
(E) 90°

Attachment:
2017-08-01_1347_001.png

Since angle EOD = 80, angle COF = 80.

Since angle BOF = 30, angle AOE = 30.

Since angles AOE, AOC, and COF make up a straight line, we have:

30 + ∠AOC + 80 = 180

∠AOC= 70

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Re: If ∠EOD = 80°, and ∠BOF = 30°, what is the measure of ∠AOC?   [#permalink] 02 Aug 2017, 13:48
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