One angle of a triangle is 50. The other is 30. What is the third?
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Step-by-Step Solution
Step 1: Recall the Angle Sum Property of a Triangle
The Angle Sum Property of a Triangle states that the sum of the interior angles of any triangle is always equal to 180∘. This fundamental property is crucial for finding unknown angles in a triangle.
Step 2: Identify Given Angles
We are given two angles of the triangle. Let's denote them as angle A and angle B. Angle A is 50∘ and angle B is 30∘. We need to find the third angle, which we can call angle C.
Step 3: Substitute Known Values into the Formula
Now, we substitute the given values of angle A and angle B into the Angle Sum Property equation. This allows us to set up an equation with only one unknown, angle C.
Step 4: Simplify the Equation
First, we add the two known angles together: 50∘+30∘=80∘. This simplifies the equation, making it easier to solve for C.
Step 5: Solve for the Third Angle
To find the value of C, we subtract 80∘ from both sides of the equation. This isolates C and gives us the measure of the third angle.