If angle a is 50° and angle b is 75° what is the measurement of angle c

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)

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