Question

Determine the missing interior and exterior angles of the triangle shown below.

Answer 1

∠c=50°, ∠1=95°, ∠2=135°, ∠3=130°

Explanation:

Let's start with
`c`. We know that, universally, every angle in a triangle will add up to be 180°. Therefore, we do
`45+85=130`. Then,
`180-130=50.` This means ∠
`c` = 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 =
`180-85=95`°

∠2 =
`180-45=135`°

∠3 =
`180-50=130`°