If two angles of a triangle are 50 and 30. What is the 3rd angle?
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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 is a fundamental property of Euclidean geometry.
Step 2: Substitute the given angles
We are given two angles of the triangle as 50∘ and 30∘. Let's substitute these values into the Angle Sum Property equation, where C represents the unknown third angle.
Step 3: Calculate the sum of the known angles
First, we add the two known angles together: 50∘+30∘=80∘. This simplifies our equation, making it easier to solve for the third angle.
Step 4: Solve for the third angle
To find the third angle C, we subtract the sum of the known angles (80∘) from the total sum of angles in a triangle (180∘). This gives us the measure of the missing angle.