Question

In ∆ABC, m<A = 72 and m<B = 83. What is the measure of <C?​

Answer 1

25

Explanation:

Theorem:

The sum of the measures of the interior angles of a triangle is 180 degrees.

The theorem is can be written as the equation below.

m<A + m<B + m<C = 180

We know the measures of angles A and B, so we substitute the values for those measures, and we solve for the measure of angle C.

72 + 83 + m<C = 180

Add like terms on the left side.

155 + m<C = 180

Subtract 155 from both sides.

m<C = 25

Answer: m<C = 25

Answer 2

25 degrees.

Explanation:

The 3 angles in a triangle add up to 180 degrees therefore:

m < C = 180 - 72 - 83

= 180 - 155

= 25 degrees.