Exterior Angles in Triangles (GMAT/GRE/CAT/Bank PO/SSC CGL) | Don't Memorise

TL;DR

Exterior angles of a triangle are the sum of its interior opposite angles, and they are always greater than each of its interior angles.

Transcript

the concept of the exterior angle of a triangle is quite easy to digest to get the exterior angle we can extend any one side of the triangle mm let's say we extend this one there we go we have the exterior angle of our triangle let's call it D in this case angle a and angle B will be its interior opposite angles and this angle will be its interior ... Read More

Key Insights

• 🔺 Exterior angles of a triangle are formed by extending one side of the triangle.
• 🔺 The measure of an exterior angle is always equal to the sum of its interior opposite angles.
• 🔺 Exterior angles are always greater than each of its interior angles.

Questions & Answers

Q: How do you find the measure of an exterior angle of a triangle?

To find the measure of an exterior angle, extend one side of the triangle. The exterior angle will equal the sum of its interior opposite angles.

Q: What is the relationship between the exterior and interior angles of a triangle?

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

Q: Are exterior angles always greater than the interior angles of a triangle?

Yes, the exterior angle of a triangle is always greater than each of its interior angles.

Q: Can you explain the concept of a linear pair formed by an exterior angle and an interior adjacent angle?

When an exterior angle and an interior adjacent angle are formed, they create a linear pair, meaning their sum will always be 180 degrees.

Summary & Key Takeaways

• Exterior angles of a triangle are formed by extending one side of the triangle.

• The measure of an exterior angle is equal to the sum of its interior opposite angles.

• Exterior angles are always greater than each of its interior angles.