The measure of an interior angle of a regular polygon is 162o. Find the number of sides of the polygon.
20
The exterior angle of a regular polygon is supplementary to the interior angle: \(180^\circ - 162^\circ = 18^\circ\).
The sum of all exterior angles of any polygon is \(360^\circ\), so the number of sides is \(n = \dfrac{360^\circ}{18^\circ} = 20\).
Hence, the polygon has 20 sides.
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If the angles of a triangle are in the ratio of 2:3:4, then the difference of the measure of greatest angle and smallest angle is
In ΔABC, ∠A = 90°, AD ┴ BC and AD = BD = 2 cm. The length of CD is
How many lines of symmetry does a rectangle have?
The number of diagonals in each face a cube is
Which of the following is/are the geometric figures with the line of symmetry?
I. Rectangle
II. Isosceles triangle
