Discover new information and insights with the help of IDNLearn.com. Our platform offers comprehensive and accurate responses to help you make informed decisions on any topic.
Sagot :
The ratio of a : b is 5 : 4.
Given that:-
Measure of an interior angle of a regular octagon = a
Measure of an interior angle of a regular pentagon = b
We know that sum of all the angles of a regular polygon of n sides is (n - 2)*180.
Hence, sum of all the angles of regular octagon = (8 - 2)*180 = 6*180 = 1080 degrees.
Hence, sum of all the angles of regular pentagon = (5 - 2)*180 = 3*180 = 540 degrees.
Hence, one interior angle of a regular octagon, a = 1080/8 = 135 degrees.
Hence, sum of all the angles of regular pentagon, b = 540/5 = 108 degrees.
Hence, the ratio of a : b = 135/108 = 5 : 4.
To learn more about ratio, here:-
https://brainly.com/question/13419413
#SPJ1
Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. Thank you for trusting IDNLearn.com with your questions. Visit us again for clear, concise, and accurate answers.
