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In pentagon ABCDE shown, what is the measure of the largest angle?
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01 Feb 2022, 07:15
01 Feb 2022, 07:15
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92% (02:16) correct
7% (01:31) wrong based on 13 sessions
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In pentagon ABCDE shown, what is the measure of the largest angle?
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170
In pentagon ABCDE shown, what is the measure of the largest angle?
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01 Feb 2022, 20:14
01 Feb 2022, 20:14
1
Quote:
Sum of Interior Angles of \(n\) sided polygon \(= (n−2) × 180°\)
Here \(ABCDE\) is a pentagon so the sum will be \(= 180 * 3 = 540\)
\(2x - 14 + 6x + 4x - 8 + 6x + 2 + 2x = 540\)
\(20x = 540 + 20\)
\(x = 28\)
The largest angle \(= 6x + 2 = 168 + 2 = 170\)
Answer 170
gmatclubot
In pentagon ABCDE shown, what is the measure of the largest angle? [#permalink]
01 Feb 2022, 20:14
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