- Trending Categories
- Data Structure
- Networking
- RDBMS
- Operating System
- Java
- MS Excel
- iOS
- HTML
- CSS
- Android
- Python
- C Programming
- C++
- C#
- MongoDB
- MySQL
- Javascript
- PHP
- Physics
- Chemistry
- Biology
- Mathematics
- English
- Economics
- Psychology
- Social Studies
- Fashion Studies
- Legal Studies

- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who

# An exterior angle of a triangle is $105°$ and its two interior opposite angles are equal. The measure of each of these two angles is?

**Given :**

An exterior angle of the triangle $=$ 105 degrees.

Interior opposite angles are equal.

**To do :**

We have to find the measure of angles.

**Solution :**

Let the measure of each interior opposite angle be x degrees.

We know that,

The exterior angle of a triangle is equal to the sum of its opposite interior angles.

Therefore,

$x+x=105$

$2x=105$

$x=\frac{105}{2}$

$x=52.5$

**The measure of each of the opposite interior angles is 52.5 degrees.**

Advertisements