Which is the measure of an exterior angle of a regular octagon?A. 36°B. 45°C.90°D. 180°​

Answer:A. 144B. 135C. 90D. 0Step-by-step explanation:An exterior angle is the angle formed by extending the segment of a closed figure where an interior angle lies on. Doing so would also form a new angle outside which shares a common vertex with the interior angle. They are supplementary, ergo their sum should be 180.1. x+36=180x=180-36x=1442. x+45=780x=180-45x=1353. x+90=180x=180-90x=904. x+180=180x=180-180x=0

Answered by Porphyrogenitus | 2024-09-04

Answer:B. 45°Step-by-step explanation:This calculation arises because the sum of all exterior angles of any polygon is always \( 360^\circ \). Dividing this total by the number of sides gives the measure of each exterior angle in a regular polygon. Therefore, each exterior angle of a regular octagon measures 45°.

Answered by sbsnjsksbskssjjsjsjs | 2024-09-04