Question

Seven angle of a ocatgon are 132° each. Find the measure of the eight anle

Answer 1

We know that the sum of all interior angles of a polygon is given by ;

• (n-2)180°

Since an octagon has 8 sides ;

Thus the sum of all int. angle of the octagon =

• (n-2)180°
• (8-2)180°
• 6×180°
• = 1080°

Given ;

• 7angles of the octagon = 132° each
• Let 8th angle = θ = ?

Therefore by using angle sum property of a octagon we can say that;

• 7(132°) + θ = 1080°
• 924° + θ = 1080°
• θ = 1080° - 924°
• θ = 156°

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