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Find the angle 1 , angle 2, angle 3, angle 4, angle 5, given that angle 3= angle 4 |
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Answer» ......\angle 1+\angle 2+\angle 3+\angle 4+\angle 5=540^{\CIRC}exp......We have to FIND the value of \angle 1+\angle 2+\angle 3+\angle 4+\angle 5.In the given figure ∠1, ∠2, ∠3, ∠4, and ∠5 are INTERIOR angles of a pentagon.Sum of interior angles = ∠1 + ∠2 + ∠3 + ∠4 + ∠5Sum of interior angles of a polygon isSum=(n-2)\times 180^{\circ}where, n is the NUMBER of vertices.In the figure ABCDE, the number of vertices is 5.Substitute n=5 in the above formula.Sum=(5-2)\times 180^{\circ}Sum=3\times 180^{\circ}Sum=540^{\circ}Therefore, the value of \angle 1+\angle 2+\angle 3+\angle 4+\angle 5 is 540°. |
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