Answer:
Part a) [tex]m<a=60\°[/tex]
Part b) [tex]m<b=60\°[/tex]
Step-by-step explanation:
Part a) we know that
[tex]m<a+120\°=180\°[/tex] -----> by supplementary angles
solve for m<a
[tex]m<a=180\°-120\°=60\°[/tex]
Part b) we know that
The sum of the internal angles of a triangle must be equal to 180 degrees
so
in this problem
[tex]m<a+m<b+60\°=180\°[/tex]
we have
[tex]m<a=60\°[/tex]
substitute and solve for m<b
[tex]60\°+m<b+60\°=180\°[/tex]
[tex]m<b+120\°=180\°[/tex]
[tex]m<b=180\°-120\°=60\°[/tex]
therefore
The triangle of the figure is an equilateral triangle ( has three equal angles and three equal sides)
