Question

What is the measure of one angle in regular 30-gon?

Answer 1

Hey mate here is your answer...

The measure of one interior angle in regular 30 gonna is

(30 - 2)*180 = 5040 degrees..

5040 / 30 = 168 degree....

HOPE IT HELPED YOU...

Answer 2

The measure of one angle in regular 30-gon is 168°

Given :

A regular 30-gon

To find :

The measure of one angle in regular 30-gon

Concept :

Sum of Interior Angles

= (n - 2) × 180°, where n = number of sides

Solution :

Step 1 of 2 :

Find Sum of Interior Angles

The given polygon is regular 30-gon

So it has 30 sides

Sum of Interior Angles

= (n - 2) × 180°

= ( 30 - 2 ) × 180°

= 28 × 180°

= 5040°

Step 2 of 2 :

Find measure of one angle

Sum of all Interior Angles = 5040°

Hence measure of one angle

$\displaystyle \sf{ = \frac{ {5040}^{ \circ} }{{30}^{ }} }$

$\displaystyle \sf{ = {168}^{ \circ}}$

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