Answer:
∠c=50°, ∠1=95°, ∠2=135°, ∠3=130°
Step-by-step explanation:
Let's start with [tex]c[/tex]. We know that, universally, every angle in a triangle will add up to be 180°. Therefore, we do [tex]45+85=130[/tex]. Then, [tex]180-130=50.[/tex] This means ∠[tex]c[/tex] = 50°.
Then, for the other angles, we can use the rule that a straight line is equal to 180°. So for example, ∠1 + 85° = 180.
As a result:
∠1 = [tex]180-85=95[/tex]°
∠2 = [tex]180-45=135[/tex]°
∠3 = [tex]180-50=130[/tex]°
