In ∆ABC, m<A = 72 and m<B = 83. What is the measure of <C?
2 answers:
Answer:
25
Step-by-step explanation:
<em>Theorem:</em>
<em>The sum of the measures of the interior angles of a triangle is 180 degrees.</em>
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:
25 degrees.
Step-by-step explanation:
The 3 angles in a triangle add up to 180 degrees therefore:
m < C = 180 - 72 - 83
= 180 - 155
= 25 degrees.
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