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Question
Find the value of each angle of an octagon if two of its angles are 148° and 152° and the remaining angles are all equal.
Solution
An octagon has 8 sides.
∴ Sum of interior angles
= (n - 2) x 180°
= (8 - 2) x 180°
= 6 x 180°
= 1080°
Given, six of its angles are equal.
Let the equal angles be x each.
148° + 152° + x + x + x + x + x + x = 1080°
⇒ 6x + 300° = 1080°
⇒ 6x = 780°
⇒ x = 130°
Each of the equal angles are equal to 130°.
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