Regular polygons have equal sides
Irregular polygons have unequal sides
Answer:
6 sides
Step-by-step explanation:
The measure of one interior angle of a regular polygon is two times the measure of one of its exterior angles. How many sides does this polygon have?
Let us represent:
Sum of Exterior angle as x
Sum of Interior angle as y
Note that:
The sum of the exterior angles of a polygon = 180 - The sum of the interior angles
Hence,
The sum of the exterior angles of a polygon + The sum of the interior angles = 180
x + y = 180
The measure of one interior angle of a regular polygon is two times the measure of one of its exterior angles.
2x = y
Substituting
x + 2x = 180°
3x = 180°
x = 180/3
x = 60°
Solving for y
2x = y
2 × 60° = y
120° = y
Hence,
Sum of Exterior angle as x = 60°
Sum of Interior angle as y = 120°
The number of sides of a polygon is
360°÷ Sum of Exterior angles
= 360° ÷ 60
= 6 sides
Answer:
7. 22 2/5 8. 10 8/10
Step-by-step explanation:
7. 7x3=21 + 7x1/5= 22 2/5
8. 2x5=10 + 2x4/10= 10 8/10
Answer:
151
Step-by-step explanation:
