Multiple Choice

4. If each interior angle of a regular convex polygon is nine times the measure of the exterior angle, how many sides does it have?

18 sides

10 sides

40 sides

20 sides

Question

Mathematics

Giuliana

28 October, 06:03

Multiple Choice

4. If each interior angle of a regular convex polygon is nine times the measure of the exterior angle, how many sides does it have?

18 sides

10 sides

40 sides

20 sides

+4

Answers (1)

Know the Answer?

Brennen Skinner · Answer 1

Let x be the degree of an exterior angle

x+9x=180

x=18

let n be the no. of sides

(n-2) * 180/n=9*18

180n-360=162n

18n=360

n=20

so the no. of sides is 20

Multiple Choice4. If each interior angle of a regular convex polygon is nine times the measure of the exterior angle, how many sides does it have?18 sides10 sides40 sides20 sides

Multiple Choice

4. If each interior angle of a regular convex polygon is nine times the measure of the exterior angle, how many sides does it have?

18 sides

10 sides

40 sides

20 sides