Formula used:
The sum of the angle of a pentagon = (n - 2) × 180°
Solution:
Sum of the angles of pentagon ABCDE = (5 - 2) × 180° = 540°
∠BCD = 180° - 80° = 100° (Linear pair)
∠CBA = 180° - 65° = 115°
∠BAE = 90° [ Given]
∠DEA = 540° - 100° - 115° - 90° - 115° = 120°
∠x = 180° - 120°
= 60° [Linear pair]
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and then the value of is:
The number of real solutions of the equation x² − 3|x| + 2 = 0 is:
The interior angles of a polygon are in arithmetic progression. The smallest angle is 120° and the common difference is 5°. Find the number of sides of the polygon.
For a regular polygon, the sum of the interior angles is 250% more than the sum of its exterior angles. Each interior angle of the polygon measures x°. What is the value of x?
The difference between an interior angle and an exterior angle of a regular polygon is 140°. Find the number of sides of the polygon.
For a regular polygon, the sum of the interior angles is 300% more than the sum of its exterior angles. Each interior angle of the polygon measures x°. What is the value of x?
The number of diagonals in a regular heptagon is:
If the difference between the exterior and the interior angles of a regular polygon is 60o, with an interior angle being greater than the corresponding exterior angle, then find the number of sides of the polygon.
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