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Question
Observe the figure and find the value of ∠A + ∠N + ∠G + ∠L + ∠E + ∠S
Solution
In the figure we have two triangles namely ∆AGE and ∆NLS.
By angle sum property of triangles,
Sum of angles of ∆AGE = ∠A + ∠G + ∠E = 180° ...(1)
Also sum of angles of ∆NLS = ∠N + ∠L + ∠S = 180° ...(2)
(1) + (2) ∠A + ∠G + ∠E + ∠N + ∠L + ∠S = 180° + 180°
i.e., ∠A + ∠N + ∠G + ∠L + ∠E + ∠S = 360°
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