Question

Observe the figure and find the value of ∠A + ∠N + ∠G + ∠L + ∠E + ∠S

Answer 1

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°