Angles in a Triangle

In a triangle, there are three angles and these angles add up to 180°, i.e. sum of all the angles of a triangle are supplementary. The three interior angles in a triangle are used to define the angles in a triangle.

How to Find Angle in a Triangle?

A triangle is a three-sided closed polygon formed by the intersection of three lines. It is one of the basic shapes of geometry. It has three sides, three angles, and three vertices. A Right Angled Triangle is one where one of the angles is always equal to 90°.

Given the length of at least two sides of a Right-Angled triangle, we can find the value of any angle of the right-angled triangle. We use various trigonometric functions to find the angles in a triangle.

In this article, we will learn about, Angles in a Triangle, How to Find Angles in a Triangle, and others in detail.

Table of Content

  • Angles in a Triangle
  • How to Find the Angle of a Triangle
  • Triangle Angle Formula
  • Finding an Angle in a Right Angled Triangle
  • Trigonometric Functions

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Angles in a Triangle

In a triangle, there are three angles and these angles add up to 180°, i.e. sum of all the angles of a triangle are supplementary. The three interior angles in a triangle are used to define the angles in a triangle....

How to Find the Angle of a Triangle

To find the sum of the angles in a triangle we use the angle sum property in a triangle. We know that the sum of all the angles of a triangle adds up to 180°. And if any two angles of the triangle are given, we can easily find the third angle by adding the two angles and then subtracting the sum from 180°....

Triangle Angle Formula

In a triangle ABC with angles ∠a, ∠b, and ∠c and sides AB, BC, and CA, triangle formula says that, sum of all the angles of the triangle is equal to 180°, i.e....

Finding an Angle in a Right Angled Triangle

In a Right-angled triangle the unknown angle can also be found using various trigonometric functions depending on the sides of the right-angled triangel given....

Trigonometric Functions

In a right-angled triangle PQR,...

Examples on Angle Formulas

Example 1: Given a right-angled triangle, with base equals 10cm and hypotenuse equals 20cm. Find the value of the base angle....

FAQs

1. What is the Formula to Find Angles in a Triangle?...