Using the triangle sum theorem the following are the missing values:
x = 25
m∠B = 65°
m∠C = 50°
What is the Triangle Sum Theorem?
According to the triangle sum theory, all the interior angles of a triangle will add up to 180 degrees.
Given:
m∠A = 65°
m∠B = (3x - 10)°
m∠C = (2x)°
Therefore:
65 + 3x - 10 + 2x = 180
Combine like terms
55 + 5x = 180
5x = 180 - 55
5x = 125
x = 125/5
x = 25
m∠B = (3x - 10)° = 3(25) - 10 = 65°
m∠C = (2x)° = 2(25) = 50°
Therefore, using the triangle sum theorem the following are the missing values:
x = 25
m∠B = 65°
m∠C = 50°
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