If two angles of a triangle are 50 and 30. What is the 3rd angle?

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 $180^\circ$. This is a fundamental property of Euclidean geometry.

Step 2: Substitute the given angles

We are given two angles of the triangle as $50^\circ$ and $30^\circ$. 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: $50^\circ + 30^\circ = 80^\circ$. 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 ($80^\circ$) from the total sum of angles in a triangle ($180^\circ$). This gives us the measure of the missing angle.

More from this chapter

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• In a right angled triangle, what are possible values of the other two angles?

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