Therefore, the missing angle = (1080° - 947°) = 133°
Explanation:
Given: Octagon
7 Interior Angles: 122°, 143°, 152°, 107°, 128°, 130° & 165°
Find: The measure of the missing angle:
Plan: Determine total sum of an octagons interior angles and subtract the total of the given angles
Sum of the Interior Angles of an Octagon:S = (n-2) 180°
S = (8 - 2)180° = 6 x 180° = 1080°
Sum of 7 Given Angles: S7IA = 947°