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.

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.

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.

First, we add the two known angles together: 50^° + 30^° = 80^°. This simplifies the equation, making it easier to solve for C.

One angle of a triangle is 50. The other is 30. What is the third?

Answer: The third angle of the triangle is $100^\circ$ .

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 $180^\circ$ . 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 $50^\circ$ and angle B is $30^\circ$ . 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: $50^\circ + 30^\circ = 80^\circ$ . 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 $80^\circ$ from both sides of the equation. This isolates C and gives us the measure of the third angle.

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