5,767 views
22 votes
22 votes
What is the measurement of each interior angle in #17

What is the measurement of each interior angle in #17-example-1
User Yi Zhao
by
3.0k points

1 Answer

21 votes
21 votes

Explanation:

Sum of interior angles of a polygon

180°(n−2)

When n=10,

Sum of interior angles of a polygon

180°(n−2)

=180°(10−2)

=1440°

Therefore, Each interior angle of a regular heptagon measures 1440/10=144°

Sum of interior angles of a polygon

180°(n−2)

When n=7,

Sum of interior angles of a polygon

180°(n−2)

=180°(7−2)

=900°

Therefore, Each interior angle of a regular heptagon measures 900/7=128.6°

User Dylan Ong
by
2.8k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.