What is the measure of angle b?
36 degrees
63 degrees
117 degrees
56 degrees
Answer: 36 degrees
Step-by-step explanation:
The angle a is 63 degrees because 177 and a are supplementary and equal 180 degrees. Because there are 180 degrees in a triangle, 63+ 81 is 144. 36 and 144 is 180, therefore b is equal to 36.
Hope this helped!
An exterior angle of a triangle equals the sum of its opposite interiors.
The measure of b is 36 degrees
To calculate angle b, we use the following equation
[tex]b + 81 = 117[/tex] ------- because b and 81 are opposite interior angles to 117
Solving further, we have:
[tex]b = 117 - 81[/tex]
Evaluate like terms
[tex]b = 36^o[/tex]
Hence, the measure of b is 36 degrees
Read more about interior and exterior angles at:
https://brainly.com/question/2125016