Whether you're a student or a professional, IDNLearn.com has answers for everyone. Get comprehensive and trustworthy answers to all your questions from our knowledgeable community members.
Sagot :
The measure of angle B is 141 degrees
Given,
In the question:
There is a seven sided polygon ABCDEFG
The measure of angle BCD is 148 degrees,
The measure of angle DEF is 142 degrees,
The measure of angle EFG is 130 degrees,
The measure of angle FGA is 129 degrees,
and the measure of angle GAB is 120 degrees.
Angle CDE is a right angle.
To find the m∠B.
Now, According to the question:
The sum of angles in a polygon adds up to 180(n - 2), where n is the number of sides of the polygon
The angles are given as:
∠BCD = 148
∠DEF = 142
∠EFG = 130
∠FGA = 129
∠GAB = 120
∠CDE = 90
So, the measure of angle B is calculated using:
∠B + 148 + 142 + 130 + 129 + 120 + 90 = 180(n - 2)
∠B + 759 = 180(n - 2)
The value of n is 7
∠B + 759 = 180(7 - 2)
∠B + 759 = 180 x 5
∠B = 900 - 759
∠B = 141
Hence, the measure of angle B is 141 degrees
Learn more about Polygon at:
https://brainly.com/question/28276384
#SPJ4
Your participation is crucial to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. Your search for answers ends at IDNLearn.com. Thanks for visiting, and we look forward to helping you again soon.
