123k views
4 votes
an angle of a pentagon is 120 the other on angle are equal to one another find the side of the other angle​

1 Answer

3 votes

Answer:

105°

Explanation:

You want the measure of the remaining angles of a pentagon if one of the angles is 120° and the remaining angles are congruent to each other.

Pentagon

The sum of the interior angles of a pentagon is 180* × (5 -2) = 540°. If one of the angles is 120°, the sum of the other four is ...

540° -120° = 420°

Then each of those four congruent angles has a measure of ...

420°/4 = 105°

The size of the other angles is 105°.

User Junho Park
by
7.3k points