Answer:
m∠C = 55°
Step-by-step explanation:
A triangle's sum of all angles = 180°
Set the equation: m∠A + m∠B + m∠C = 180°
m∠A = 50° ; m∠B = 75°
Plug in the corresponding numbers to the corresponding variables:
50 + 75 + m∠C = 180
Simplify. Combine like terms:
(50 + 75) + m∠C = 180
125 + m∠C = 180
Isolate the variable. Note the equal sign, what you do to one side, you do to the other. Subtract 125 from both sides:
m∠C + 125 (-125) = 180 (-125)
m∠C = 180 - 125
m∠C = 55
m∠C = 55°
Check: All the angles added together must equal 180°:
50 + 75 + 55 = 180
125 + 55 = 180
180 = 180 (True)
~
