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605-655 (Medium)|   Geometry|      
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Bunuel
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If A, B, C, D, and E are points in a plane such that line CD bisects 09 Oct 2018, 21:41
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45% (medium)

Question Stats:

66% (02:01) correct 34% (02:12) wrong based on 92 sessions

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If A, B, C, D, and E are points in a plane such that line CD bisects ∠ACB and line CB bisects right angle ∠ACE, then ∠DCE =

(A) 22.5°
(B) 45°
(C) 57.5°
(D) 67.5°
(E) 72.5°
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D
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If A, B, C, D, and E are points in a plane such that line CD bisects 10 Oct 2018, 11:02
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Bunuel
If A, B, C, D, and E are points in a plane such that line CD bisects ∠ACB and line CB bisects right angle ∠ACE, then ∠DCE =

(A) 22.5°
(B) 45°
(C) 57.5°
(D) 67.5°
(E) 72.5°
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Angle ACE = 90 degree since CB bisects ACE then

BCE = 45 degree

ACB = 45 degree. Since CD bisects ACB

We get two angles ACD = 45/2 = 22.5 and DCB = 45/2 = 22.5

DCE = DCB + BCE = 22.5 + 45 = 67.5

Answer choice D
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If A, B, C, D, and E are points in a plane such that line CD bisects 10 Oct 2018, 22:11
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Salsanousi
Bunuel
If A, B, C, D, and E are points in a plane such that line CD bisects ∠ACB and line CB bisects right angle ∠ACE, then ∠DCE =

(A) 22.5°
(B) 45°
(C) 57.5°
(D) 67.5°
(E) 72.5°

Angle ACE = 90 degree since CB bisects ACE then

BCE = 45 degree

ACB = 45 degree. Since CD bisects ACB

We get two angles ACD = 45/2 = 22.5 and DCB = 45/2 = 22.5

DCE = DCB + BCE = 22.5 + 45 = 67.5

Answer choice D
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Great Image!! That is a perfect explanation.
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If A, B, C, D, and E are points in a plane such that line CD bisects 02 Mar 2020, 12:57
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Where is it written that angle ACE is right angle??

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If A, B, C, D, and E are points in a plane such that line CD bisects 17 Oct 2025, 02:32
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