The seven angle of an octagon are 132 each Find the measure of the eighth angle - Maths - Understanding Elementary Shapes

Question

The seven angle of an octagon are 132° each Find the measure of
the eighth angle ​

Manbar Singh · Accepted Answer

Let ABCDEFGH be the octagon
Let ∠A = ∠B = ∠C = ∠D = ∠E = ∠F = ∠G = 132°Now, ∠A + ∠B + ∠C + ∠D + ∠E + ∠F + ∠G + ∠H = 1080°     Angle sum property⇒132° + 132° + 132° + 132° + 132° + 132° + 132° + ∠H = 1080°⇒924° + ∠H = 1080°⇒∠H = 1080° - 924° = 156°

The seven angle of an octagon are 132° each. Find the measure of the eighth angle. ​

The seven angle of an octagon are 132° each. Find the measure of the eighth angle.