Question
In a regular polygon, the ratio of the exterior angle to
the interior angle is 4:5. Find the interior angle of the polygon.Solution
Sum of an exterior angle and interior angle of a regular polygon = 180 o  (Linear pair)
Let the exterior angle and the interior angle of the given polygon be 4x and 5x, respectively
4x + 5x = 180°
Or, 9x = 180°
Or, ‘x’ = (180°/9) = 20°
Required angle = 5x = 100°
More Geometry Questions
√323.89  × (3.20) ÷ 9.02 =?
- What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)
23.98% of 624.99 = 19.98% of ? + 14.98% of 639.99
Direction: Please solve the following expression and choose the closest option
What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)...
- What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)
12, 16, ?, 36, 52, 72Â
- What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)
(6859.01)1/3  × 10.11 × 14.47 ÷ 20.32 = ? + 45.022
33.33% of 809.891 + 66.66% of 212.91 = ?
