Using supplementary angles, it is found that the measures of the angles are given as follows:
What are supplementary angles?
Supplementary angles are two angles whose sum is of 180º.
An interior angle is supplementary with it's exterior angle, hence:
m<a + 150º = 180º -> m<a = 30º.
The sum of the three interior angles of a triangle is of 180º, hence:
30º + m<b + 60º = 180º
90º + m<b = 180º
m<b = 90º.
More can be learned about supplementary angles at https://brainly.com/question/12919120
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