Advertisements
Advertisements
प्रश्न
Two angles of a hexagon are 120° and 160°. If the remaining four angles are equal, find each equal angle.
Advertisements
उत्तर
Two angles of a hexagon are 120°, 160°
Let the remaining four angles be x, x, x and x.
Their sum = 4x + 280°
But the sum of all the interior angles of a hexagon
= (6 - 2) × 180°
= 4 × 180° = 720°
∴ 4x + 280° = 720°
⇒ 4x = 720° - 280° = 440°
⇒ x = 110°
∴ Equal angles are 110° (each)
APPEARS IN
संबंधित प्रश्न
Calculate the sum of angle of a polygon with : 25 sides
Find the number of sides in a polygon if the sum of its interior angle is: 900°
Find the number of sides in a polygon if the sum of its interior angle is: 16 right-angles.
Find the number of sides in a polygon if the sum of its interior angle is: 32 right-angles.
Is it possible to have a polygon, whose sum of interior angle is: 870°
Is it possible to have a polygon, whose sum of interior angle is: 2340°
Is it possible to have a polygon, whose sum of interior angle is: 4500°
The interior angles of a pentagon are in the ratio 4 : 5 : 6 : 7 : 5. Find each angle of the pentagon.
How many triangles are formed when all diagonals are drawn from one vertex of an octagon?
What is the sum of all interior angles of a hexagon?
