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In the figure below, if lines L1 and L2 are parallel, rays AC and BC a
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03 Oct 2022, 01:56
03 Oct 2022, 01:56
Expert Reply
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Question Stats:
84% (01:49) correct
15% (02:13) wrong based on 19 sessions
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In the figure below, if lines L1 and L2 are parallel, rays AC and BC are bisectors of the angles \(\angle EAB\) and \(\angle ABG\) and \(\angle BAD = 130°\), what is the measure of \(\angle ACB\)?
GRe angles (2).jpg [ 17.35 KiB | Viewed 1332 times ]
(A) 50°
(B) 65 °
(C) 75°
(D) 85°
(E) 90°
Attachment:
GRe angles (2).jpg [ 17.35 KiB | Viewed 1332 times ]
(A) 50°
(B) 65 °
(C) 75°
(D) 85°
(E) 90°
Part of the Skill Builder Project
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GRE Math Essentials
GRE Geometry Formulas
GRE - Math Book
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GRE Math Essentials
GRE Geometry Formulas
GRE - Math Book
Re: In the figure below, if lines L1 and L2 are parallel, rays AC and BC a
[#permalink]
31 Oct 2022, 11:31
31 Oct 2022, 11:31
Expert Reply
Since ray AC bisects angle EAB, \(m \angle CAB\) \(= \frac{180 - 130}{2}= 25\).
Since angles BAD and ABF are supplementary, \(m \angle ABF = 180 - 130 = 50\).
Since ray BC bisects angle ABG, \(m \angle ABC = 180 - 50/2 = 65\). 2 Since the sum of the measures of the interior angles of a triangle is 180, \(m \angle ACB = 180 - 25 - 65 = 90\).
Since angles BAD and ABF are supplementary, \(m \angle ABF = 180 - 130 = 50\).
Since ray BC bisects angle ABG, \(m \angle ABC = 180 - 50/2 = 65\). 2 Since the sum of the measures of the interior angles of a triangle is 180, \(m \angle ACB = 180 - 25 - 65 = 90\).
gmatclubot
Re: In the figure below, if lines L1 and L2 are parallel, rays AC and BC a [#permalink]
31 Oct 2022, 11:31
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