Angle A of triangle = 50. B=30B = 30. What is C?

Answer: The measure of angle C is 100∘100^\circ.

Step-by-step solution

Step 1: Recall the Angle Sum Property of a Triangle

The sum of the interior angles of any triangle is always equal to 180∘180^\circ. This is a fundamental property of triangles.

Step 2: Substitute the given angle values

We are given the measures of angle AA as 50∘50^\circ and angle BB as 30∘30^\circ. We substitute these values into the angle sum property equation.

Step 3: Simplify the equation

First, we add the known angles 50∘50^\circ and 30∘30^\circ together, which gives us 80∘80^\circ.

Step 4: Solve for angle C

To find the measure of angle CC, we subtract the sum of angles AA and BB from 180∘180^\circ. This isolates CC and gives us its value.

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