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What is the formula to find the angle of a triangle?
As per the triangle angle formula, the sum of all angles in a triangle is always 180°. If we know two angles, we can find the third angle by subtracting their sum from 180°.
How to calculate the angle in a triangle?
To calculate the missing angle, add the two known angles and subtract the total from 180°. For example, if one angle is 70° and another is 60°, then the missing angle is 180° – (70° + 60°) = 50°.
How to find the angle in a right-angled triangle?
In a right-angled triangle, one angle is always 90°. We can use the triangle angle formula or trigonometric ratios like sin, cos, or tan to find the angles remaining.
What trigonometry formulas are used to find the angle of a triangle?
We can use trigonometry formulas like: 1) sin θ = opposite ÷ hypotenuse; 2) cos θ = adjacent ÷ hypotenuse; 3) tan θ = opposite ÷ adjacent. These angle formulas help us find the angle when the lengths of the sides of the triangle are given.
How to Find the Angle of a Triangle?
How to find the angle of a triangle is explained here in easy steps and examples. Learn the triangle angle formula, angle calculation formula, and how to calculate angles using trigonometric functions.
Shivam Singh20 Jun, 2025
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A triangle is a shape with three sides and three angles. One important rule in math is that the sum of all angles in a triangle is always 180°. This rule is called the triangle angle formula and it helps us quickly find the angle when other angles are known.
Moreover, the angle formula is used to calculate missing angles in all types of triangles like right-angle triangles, isosceles triangles, equilateral triangles, and scalene triangles. To further understand how to calculate angles using triangle angle formulas, keep reading.
Angle Formula Overview
As we know, an angle is formed when two lines or rays meet at a common point. This common point is called the vertex, and the two lines are called the arms of the angle. The angle formula helps us to find the angle in different triangles. In simple words, an angle shows how much one line has turned to meet another line. We use the angle calculation formula to measure this turn.
In geometry, learning how to calculate angles is very useful because angles tell us the shape and size of objects. The angle of triangle formula is one of the most common formulas that students use to solve many geometrical questions.
How to Calculate Angle in a Triangle
As we learned above, in every triangle, the sum of all three angles is always 180°. This is called the triangle angle formula. We can use this rule to find the angle that is missing in the triangle. Here are the steps on how to calculate angle in a triangle:
Step 1: Add the given angles.
Step 2: Subtract the sum from 180° to find the missing angle.
For example, if one angle of a triangle is 50° and the other angle is 60°, let’s find the third angle.
Step 1: Add the two known angles: 50° + 60° = 110°
Step 2: Subtract this sum from 180°: 180° – 110° = 70°
So, the missing angle is 70°.
This is one of the easiest ways to calculate an angle in a triangle using the angle of triangle formula.
Triangle Angle Formula
In every triangle, the total of all three angles is always 180°. This is a basic rule in geometry and is known as the triangle angle formula. For a triangle with three angles, the triangle angle formula is:
Triangle Angle Formula: ∠a + ∠b + ∠c = 180°
This is also called the Triangle Angle Sum Theorem. We can use this angle formula to find the angle that is missing when the other two angles are given.
When we learn about triangles, we use different angle calculation formulas to find the angle when some sides or angles are already given. These formulas help us easily calculate angles in a triangle. Let's look at them one by one:
1. Triangle Angle Sum Formula
In every triangle, the sum of all angles is always 180°. So, if we know two angles, we can easily find the third angle.
Angle Formula: Angle 1 + Angle 2 + Angle 3 = 180°
This is the most common angle of triangle formula used to solve simple triangle-related questions in mathematics.
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