Respuesta :

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.

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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

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