Answer:
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Step-by-step explanation:
Answer:512
Step-by-step explanation:
Answer:
Interior Angle: 165°
Exterior Angle: 15°
Step-by-step explanation:
So first you have to find the sum of all interior angles of a polygon with <u>24 sides</u>. This can be found using the formula:
sum = ( <em>n</em> - 2 ) * 180° where '<em>n</em>' is the number of sides.
When '<em>n</em> = 24' then the sum is:
sum = ( 24 - 2 ) * 180°
Simplify and solve.
sum = 22 * 180°
sum = 3960°
Since there are 24 sides to the polygon, there are 24 interior angles. <u>Assuming that this polygon is equilateral</u>, you can surmise that:
<em>Interior Angle</em> = sum° / <em>n</em> where n is the number of sides,
3960° / 24 = 165° = Interior Angle
Using that information, and combine it with the [Supplementary Angles Theorem] the exterior angle can be found by:
165° + x = 180°
Solve for x.
Answer:
Simplifying
8x + -3 = 5(2x + 1)
Reorder the terms:
-3 + 8x = 5(2x + 1)
Reorder the terms:
-3 + 8x = 5(1 + 2x)
-3 + 8x = (1 * 5 + 2x * 5)
-3 + 8x = (5 + 10x)
Solving
-3 + 8x = 5 + 10x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-10x' to each side of the equation.
-3 + 8x + -10x = 5 + 10x + -10x
Combine like terms: 8x + -10x = -2x
-3 + -2x = 5 + 10x + -10x
Combine like terms: 10x + -10x = 0
-3 + -2x = 5 + 0
-3 + -2x = 5
Add '3' to each side of the equation.
-3 + 3 + -2x = 5 + 3
Combine like terms: -3 + 3 = 0
0 + -2x = 5 + 3
-2x = 5 + 3
Combine like terms: 5 + 3 = 8
-2x = 8
Divide each side by '-2'.
x = -4
Simplifying
x = -4
Step-by-step explanation:
