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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.

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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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