The measure of one interior angle is 108 deg. Find the
number of sides.
Answers
Answered by
5
Given
- Measure of one interior angle = 108°
To find
- The number of sides.
Solution
Using formula,
★ Exterior angle + Interior angle = 180°
Substituting the given values,
⟼ Exterior angle + 108° = 180°
⟼ Exterior angle = 180° - 108°
⟼ Exterior angle = 72°
★ Exterior angle of the polygon = 72°
Formula to be used :-
★ Number of sides = 360°/Exterior angle
Substituting the given values,
⟼ Number of sides = 360°/72°
⟼ Number of sides = 5
❖ Number of sides of the polygon = 5 sides.
______________________________
Know More
• Sum of interior angles of a polygon =
(2n - 4) × 90°
❖ A regular polygon has :-
- All its sides equal to each other.
- All its interior angles equal to each other.
- All its exterior angles equal to each other.
Answered by
34
Measure of each interior angle=
Since, the measure of each interior angle is=108°
Measure of each interior angle=180°-108°=72°
Thus, required sides of a regular polygon=5
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