Answer:
The regular polygon that she should use is an equilateral triangle
Step-by-step explanation:
The parameters given are;
Interior angles = 0.5 × Exterior angles
Exterior angles of a regular polygon = 360/n
Sum of interior angles of a regular polygon = (n - 2) × 180
Where n = the number of sides
Therefore, the sum of exterior angles of a regular polygon = 360°
Hence we have;
(n - 2) × 180 = 360/2 = 180
n - 2 = 180/180 = 1
n = 1 + 2 = 3 which is a three sided regular polygon or an equilateral triangle
Therefore, the regular polygon that she should use is an equilateral triangle
Answer: infinitely many solutions
Step-by-step explanation: 6y = -3x + 30 rewrites to 3x + 6y = 30
1. align equations x + 2y = 10
3x + 6y = 30
2. multiply first equation by -3 to get -3x - 6y = -30
3. align equations -3x - 6y = -30
3x + 6y = 30
4. add the equations and you they cancel out, which means infinitely many solutions
The sum of the interior angles of any polygon is given by (n-2)180°, where n is the number of sides.
Also sum of all the exterior angles of any polygon is 360°
Given (n-2)180° = 3(360°)
=> n-2 = 6
=> n = 8.
Hence the number of sides of a polygon is 8
