Answer:
Part a) [tex]m\angle a=30^o[/tex] (see the explanation)
Part b) [tex]m\angle b=90^o[/tex] (see the explanation)
Step-by-step explanation:
Part a) Find the measurement of angle a
we know that
[tex]m\angle a+150^o=180^o[/tex] ---> by supplementary angles (form a linear pair)
[tex]m\angle a=180^o-150^o[/tex]
[tex]m\angle a=30^o[/tex]
Part b) Find the measurement of angle b
we know that
The sum of the interior angles in any triangle must be equal to 180 degrees
In this problem
[tex]m\angle b+m\angle a+60^o=180^o[/tex]
substitute the given values
[tex]m\angle b+30^o+60^o=180^o[/tex]
[tex]m\angle b=180^o-90^o[/tex]
[tex]m\angle b=90^o[/tex]
