Questions: Find the measure of angle C.

Find the measure of angle C.
Transcript text: Find the measure of angle $C$.
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Solution

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Solution Steps

Step 1: Identify the Given Angles

The problem provides two angles in the triangle:

  • Angle A = 40°
  • Angle B = 120°
Step 2: Use the Triangle Angle Sum Theorem

The sum of the interior angles of a triangle is always 180°. Therefore, we can set up the equation: \[ \text{Angle A} + \text{Angle B} + \text{Angle C} = 180° \]

Step 3: Substitute the Known Values and Solve for Angle C

Substitute the given angles into the equation: \[ 40° + 120° + \text{Angle C} = 180° \] \[ 160° + \text{Angle C} = 180° \] \[ \text{Angle C} = 180° - 160° \] \[ \text{Angle C} = 20° \]

Final Answer

The measure of angle C is 20°.

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