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Lynna [10]
3 years ago
7

Find the measure of each interior angle AND each exterior angles of the following regular polygons. Show your work.

Mathematics
1 answer:
fredd [130]3 years ago
7 0
<h3>Given</h3>

regular polygons with 5, 16, and 12 sides

<h3>Find</h3>

the measures of each interior and exterior angle

<h3>Solution</h3>

The sum of exterior angles is 360° for any convex polygon. For a regular n-agon, the measure of an exterior angle is 360°/n. The corresponding interior angle is its supplement.

(a) pentagon. Exterior angle: 72°; Interior angle: 108°.

(b) 16-gon. Exterior angle: 22.5°; Interior angle: 157.5°.

(c) dodecagon. Exterior angle: 30°; Interior angle: 150°.

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Could someone help me solve this
faltersainse [42]

Answer:

x = 8.3.

Step-by-step explanation:

According to solve for the length of x, we need to use SOH CAH TOA.

This means...

Sine: Opposite over Hypotenuse

Cosine: Adjacent over Hypotenuse

Tangent: Opposite over Adjacent

In this case, we are given the angle, the hypotenuse, and we need to solve for the adjacent. This means that we will use cosine, since we have the adjacent and the hypotenuse.

cosine(41) = x / 11

x = (cosine(41)) * 11

x = 0.7547095802 * 11

x = 8.301805382

The question asks us to round to the nearest <em>tenth</em>.

So, your final answer is that x = 8.3.

Hope this helps!

7 0
4 years ago
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Artist 52 [7]

Answer:

hi

Step-by-step explanation:

6 0
4 years ago
What is the answer for number 2?
steposvetlana [31]

Answer:

7/3

Step-by-step explanation:

integral of equation is x^3/3-6x^2/2+5x/1

the answer will be

7^3/3-3*7^2+5*7-0= 343/3-147+35= 7/3

4 0
3 years ago
PLEASE HELP WITH 1-2!!!!
ratelena [41]
1-2 = -1
If that's what u mean
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3 years ago
A list of consecutive integers begin withs with m and ends with n. If n-m = 66, how many integers are in the list?
malfutka [58]

Answer:

2

Step-by-step explanation:

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3 years ago
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