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PtichkaEL [24]
2 years ago
11

Hey can someone help me with this .

Mathematics
1 answer:
algol [13]2 years ago
3 0
The right awnser is A
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Find the measure of an interior angle and exterior angle of a regular 24gon
Julli [10]

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.

8 0
2 years ago
What is the place value of 8 in 281,480,100​
kow [346]
Ten thousand your welcome
3 0
3 years ago
What is 9×8 I hope you explain it
n200080 [17]
9 x 8 = 72 

9 + 9 +9 + 9 + 9 +9 + 9 + 9 = 72
6 0
3 years ago
Read 2 more answers
What is the measure of &lt; DBC
notsponge [240]

Answer:

∠D B C = 41°

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

Given ∠ABC = 90°

 In diagram ∠D B C + ∠A B D = 90°

                       6 x+5 + 8 x +1 = 90

                       14 x + 6 = 90

                      14 x = 90 -6

                      14 x = 84

                    <em>     x = 6</em>

<u><em>Step(ii):-</em></u>

∠D B C = 6 x + 5 = 6 (6) +5 = 36 +5 = 41

<em>∠D B C = 41°</em>

<em>  ∠A B D = 8(6) +1  = 49°</em>

<em>∠D B C + ∠A B D =  41° + 49° = 90°</em>

3 0
2 years ago
Read 2 more answers
The perimeter of a rectangular garden is 43.8ft it’s length is 12.4ft what’s its width
vovangra [49]

Answer:

31.4 is the answer

Step-by-step explanation:

8 0
3 years ago
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