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# Triangle Angles Calculator

Triangle calculator computes the base of a triangle given the height and the area. A closed polygon that has 3 edges, 3 vertices, and 3 angles is known as a triangle. The classification of triangles is based on the measure of the sides and the angles.

## What is a Triangle Angles Calculator

In any triangle, there are three angles and we know that the sum of these three interior angles of a triangle is always 180°. This 'triangle angles calculator' can find the value of the missing angle if the other two angles are given.

### Triangle Angles Calculator

**NOTE: **Enter positive angles only.

## How to Use the Triangle Angles Calculator?

The three internal angles of the triangle are denoted by ∠a, ∠b and ∠c.

Follow these steps to use the calculator and find the value of the missing angle:

**Step 1:**Enter the values of ∠a and ∠b in the calculator in whole numbers or in decimals.**Step 2:**Click on "**Calculate"**to find the missing angle, i.e., ∠c.**Step 3:**Click on**"Reset"**to clear the field and enter the new values of ∠a and ∠b.

## How to Find the Angles of a Triangle?

According to the angle sum property, in any triangle, the sum of all the three interior angles is always 180^{o}.

So, if any two angles are given, we can find the value of the third angle by subtracting the sum of the given angles from 180^{o}.

## Solved Examples on Triangle Angles Calculator

**Example 1:**

If ∠a = 30° and ∠b = 60°, find the value of ∠c.

**Solution:**

Since ∠a + ∠b + ∠c = 180° (angle sum property)

30° + 60° + ∠c = 180°

90° + ∠c = 180°

∠c = 180° - 90°

∠c = 90°

∴ The value of ∠c is 90°.

**Example 2:**

If ∠a = 45° and ∠b = 60°, find the value of ∠c.

**Solution:**

Since ∠a + ∠b + ∠c = 180° (angle sum property)

45° + 60° + ∠c = 180°

45° + ∠c = 180°

∠c = 180° - 45°

∠c = 90°

∴ The value of ∠c is 135°.

**Example 3:**

If ∠b = 60° and ∠c = 30°, find the value of ∠a.

**Solution:**

Since ∠a + ∠b + ∠c = 180° (angle sum property)

∠a + 60° + 30° = 180°

∠a + 90° = 180°

∠a = 180° - 90°

∠a = 90°

∴ The value of ∠a is 90°.

Now, try to use the triangle angles calculator to find the value of ∠c with the following values of ∠a and ∠b.

- ∠a = 57° and ∠b = 78°
- ∠a = 79° and ∠b = 32°

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