We read your photo as:

What is the measure of each exterior angle in degrees for a regular polygon with 14 sides and one with 24 sides?

May 4, 2026Mathematics

ScanSolve AI Answer

Answers

2 parts

\text{Exterior angle} \approx 25.71^\circ \text{ (to 2 decimal places)}

\text{Exterior angle} = 15^\circ

4 steps

here's the solution for question 14:

The formula for the size of each exterior angle of a regular polygon with $n$ sides is $\frac{360^\circ}{n}$ .

For a regular polygon with 14 sides

Apply the formula for the exterior angle.
$\text{Exterior angle} = \frac{360^\circ}{n}$
Substitute $n=14$ :
$\text{Exterior angle} = \frac{360^\circ}{14}$
Calculate the value.
$\text{Exterior angle} = \frac{180^\circ}{7} \approx 25.714^\circ$ $\boxed{\text{Exterior angle} \approx 25.71^\circ \text{ (to 2 decimal places)}}$

For a regular polygon with 24 sides

Apply the formula for the exterior angle.
$\text{Exterior angle} = \frac{360^\circ}{n}$
Substitute $n=24$ :
$\text{Exterior angle} = \frac{360^\circ}{24}$
Calculate the value.
$\text{Exterior angle} = 15^\circ$ $\boxed{\text{Exterior angle} = 15^\circ}$

Was this helpful?

A new problem that tests the same skill.

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question

Browse by topic:Geometry

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.