Two angles of a triangle are 50 and 30. What is the third?
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Step-by-Step Solution
Step 1: Recall Angle Sum Property
The fundamental property of any triangle states that the sum of its three interior angles is always equal to 180∘. This is a key concept in geometry.
Step 2: Identify Given Angles
We are given two angles of the triangle: one is 50∘ and the other is 30∘. We need to find the measure of the third angle.
Step 3: Set Up Equation
Let the third angle be x. According to the angle sum property, we can set up an equation where the sum of the two given angles and the unknown third angle equals 180∘.
Step 4: Solve for the Third Angle
First, add the two known angles: 50∘+30∘=80∘. Then, subtract this sum from 180∘ to find the measure of the third angle. This gives us 180∘−80∘=100∘.