Question

Find the measurements of all interior and exterior angles of a regular decagon.

Find the measurements of all interior and exterior angles of a regular decagon.

Math   Geometry   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

We know that the sum of all interior angles of a regular n-gon is

Therefore, measure of each interior angle of a regular n-gon is

Hence, the measurements of all interior angles of a regular decagon (n = 10) is

We know that the sum of all exterior angles of a regular n-gon is

Therefore, measure of each exterior angle of a regular n-gon is

Hence, the measurements of all exterior angles of a regular decagon (n = 10) is

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
If the sum of the interior of a regular polygon is 2160°, what would be the...
If the sum of the interior of a regular polygon is 2160°, what would be the measure of an exterior angle? Round to the nearest tenth? What is the sum of the interior angles of a regular polygon with 17 sides? If the sum of the interior angles of a regular polygon is 1260°, what is the name of the figure? What would be the measure of an exterior angle of regular Heptagon? Round your answer to the nearest hundredths...
Use the Exterior Angle Theorem to show that the sum of the measures of two interior...
Use the Exterior Angle Theorem to show that the sum of the measures of two interior angles of a triangle is always less than 180 degrees. Can not use that the sum of angles is 180 degrees.
Use vectors to find the interior angles of the triangle given the following sets of vertices....
Use vectors to find the interior angles of the triangle given the following sets of vertices. Round your answer, in degrees, to two decimal places. (−7,−4)(−7,−4), (−5,7)(−5,7), (3,2)
For a sodium permeable membrane and sodium concentration interior = 100mM and exterior = 80mM, the...
For a sodium permeable membrane and sodium concentration interior = 100mM and exterior = 80mM, the ion flux is ___ and the current is ___.
Neutral Geometry Proof: If two lines are cut by a transversal and the alternate interior angles...
Neutral Geometry Proof: If two lines are cut by a transversal and the alternate interior angles are congruent, or the corresponding angle are congruent, or the interior angles on the same side are supplementary, then the lines are parallel.
Given △ABC, extend sides AB and AC to rays AB and AC forming exterior angles. Let...
Given △ABC, extend sides AB and AC to rays AB and AC forming exterior angles. Let the line rA be the angle bisector ∠BAC, let line rB be the angle bisector of the exterior angle at B, and let line rC be the angle bisector of the exterior angle at C. • Prove that these three rays are concurrent; that is, that they intersect at a single point. Call this point EA • Prove that EA is the center of...
Using the hyperbolic angle sum theorem, prove theorem 1. theorem 1 (the exterior angle inequality theorem):...
Using the hyperbolic angle sum theorem, prove theorem 1. theorem 1 (the exterior angle inequality theorem): An exterior angle of a triangle is greater than each of the remote/nonadjacent interior angles of the triangle. hyperbolic angle sum theorem: The sum of the measures of the angles of a hyperbolic triangle is less than 180°. Please give an original answer, the explanations already posted on Chegg do not answer this question or do not answer in a language that I understand...
the interior angles of a triangle measure 120, 40, 20 degrees. the longest side of the...
the interior angles of a triangle measure 120, 40, 20 degrees. the longest side of the triangle is 10 cm longer than the shortest side, determine the perimeter of the triangle
The angular misclosure for a five-sided polygon traverse with observed interior angles of 110°26'48'', 105°55'04'', 113°15'34'',...
The angular misclosure for a five-sided polygon traverse with observed interior angles of 110°26'48'', 105°55'04'', 113°15'34'', 100°35'24'', and 109°47'20'' is 10". If each angle is adjusted by applying an average correction, list the adjusted angles, and their sum.
Suppose every interior angle in a regular polygon is approximately 152.31 ∘ . What kind of...
Suppose every interior angle in a regular polygon is approximately 152.31 ∘ . What kind of polygon is this?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT