131k views
2 votes
How to do this question plz answer ​

How to do this question plz answer ​-example-1

2 Answers

3 votes

Answer:

The polygon has 60 sides.

Explanation:

Each interior angle = 174°

Each exterior angle = 180° - 174° = 6°

Sum of all exterior angles = 360°

6x = 360° (x = no. of exterior angles)

x = 360°/6

x = 60

If it has 60 exterior angles it has 60 interior angles.

User Hitesh Danidhariya
by
4.6k points
5 votes

9514 1404 393

Answer:

60

Explanation:

The exterior angles of the polygon are the supplement of the interior angles, so are ...

180° -174° = 6° . . . . measure of each exterior angle

The sum of exterior angles is 360°, so ...

n(6°) = 360°

n = 360°/6° = 60

The polygon has 60 sides.

User Avramov
by
4.3k points