Sum of interior angles of a polygon = 360°
Sum of exterior angels of a polygon = 360°
What is regular polygon ?
In regular polygon all sides will be equal.
The sum of interior angles of n sided polygon is
s = (n - 2) x 180°
To find each angle measure, we use the formula
= Sum of interior angle/number of sides
Find the missing interior and for exterior angles of a given polygon:
Problem 1 :
Solution :
y + 121° = 180° (linear pair)
y = 180 - 121
y = 59
x° + 84° + 100° + 59° = 360°
x° + 243 = 360°
x° = 360 - 243
x° = 117
So, the missing angle of x is 117°.
Problem 2 :
Solution :
The sum of exterior angles of a polygon is 360°.
x° + 100° + 120° = 360°
x° + 220° = 360°
x° = 360 - 220
x° = 140
So, the missing angle of x is 140°.
Problem 3 :
Solution :
The sum of exterior angles of a polygon is 360°.
x° + 95° + 70° + 90° = 360°
x° + 255° = 360°
x° = 360 - 255
x° = 105
So, the missing angle of x is 105°.
Problem 4 :
Solution :
The sum of exterior angles of a polygon is 360°.
x° + 70° + 70° + 70° + 60° + 40° = 360°
x° + 310° = 360°
x° = 360 - 310
x° = 50
So, the missing angle of x is 50°.
Problem 5 :
Solution :
The sum of exterior angles of a polygon is 360°.
x° + 93° + 55° + 102° = 360°
x° + 250° = 360°
x° = 360 - 250
x° = 110
So, the missing angle of x is 110°.
Problem 6 :
Solution :
The sum of exterior angles of a polygon is 360°.
x° + 159° + 31° + 91° = 360°
x° + 281° = 360°
x° = 360 - 281
x° = 79
So, the missing angle of x is 79°.
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM