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3 years ago

What is the measure of an exterior angle of a regular nonagon

Mathematics

1 answer:

Tanzania [10]3 years ago

7 0

A regular nonagon is 9-sided polygon with all congruent sides and congruent interior angles.

The sum of exterior angles of n-sided polygon is 360°. If all interior angles of regular nonagon are congruent, then all exterior angles are congruent too.

Then each exterior angle has the measure of

$\dfrac{360^{\circ}}{9}=40^{\circ}.$

Answer: $40^{\circ}$

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Step-by-step explanation:

Fine the diagram in the attachment for proper elucidation. Using the SOH, CAH, TOA trigonometry identity to solve for the distance (x) from the plane (P) to the observer (O), the longest side x is the hypotenuse and the side facing the angle of elevation is the opposite.

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