Angle A of triangle is 50, B is 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 that angle A is 50∘50^\circ and angle B is 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, which gives us 80∘80^\circ. Now the equation is simplified to find C.

Step 4: Solve for angle C

To find angle C, we subtract the sum of the known angles (80∘80^\circ) from the total sum of angles in a triangle (180∘180^\circ).

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