Answer:
1. 120°
2. 108°
Step-by-step explanation:
1. if it is an equilateral triangle, each angle measures 60°.
Looking for the angle x, it is supplementary angle of 60°.
When we say supplementary angles, the sum of two angles is 180°
therefore, 180° - 60° = 120°
2. to find the sum of the interior angles of any regular polygon, (n-2)180°
n here is the number of sides of the polygon.
S = (5-2)180°
S = 3(180°)
S = 540°
Now, we need to find the measure of one angle, and since it is a regular pentagon, all angles are equal.
540° ÷ 5 = 108° simply divide the sum of angles to the number of sides
Copyright © 2024 EHUB.TIPS team's - All rights reserved.
Answers & Comments
Answer:
1. 120°
2. 108°
Step-by-step explanation:
1. if it is an equilateral triangle, each angle measures 60°.
Looking for the angle x, it is supplementary angle of 60°.
When we say supplementary angles, the sum of two angles is 180°
therefore, 180° - 60° = 120°
2. to find the sum of the interior angles of any regular polygon, (n-2)180°
n here is the number of sides of the polygon.
S = (5-2)180°
S = 3(180°)
S = 540°
Now, we need to find the measure of one angle, and since it is a regular pentagon, all angles are equal.
540° ÷ 5 = 108° simply divide the sum of angles to the number of sides