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In pentagon ABCDE shown, what is the measure of the largest angle?

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In pentagon ABCDE shown, what is the measure of the largest angle? [#permalink] New post   01 Feb 2022, 07:15
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In pentagon ABCDE shown, what is the measure of the largest angle?


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In pentagon ABCDE shown, what is the measure of the largest angle? [#permalink] New post   01 Feb 2022, 20:14
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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
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In pentagon ABCDE shown, what is the measure of the largest angle? [#permalink]
01 Feb 2022, 20:14
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