An exterior angle of a triangle is equal to the sum of the two opposite interior angles. The sum of exterior angle and interior angle is equal to 180 degrees.
The exterior angles of a quadrilateral always add up to 360°. If the quadrilateral is shrunk down to the size of a point, all that is left are the exterior angles around the outside of it. Angles around a point add to 360° and so, the exterior angles add to 360°.
Exterior Angle Theorem (High School EAT) | Two Opposite Interior Angles Add to the Exterior Angle
Exterior Angle Theorem
Interior and Exterior Angles (and How to Find the Sum of Interior Angles) – Nerdstudy
Frequently Asked Questions
What does an exterior angle add up to?
360 degreesThe sum of exterior angles in a polygon is always equal to 360 degrees.
Which angles are exterior angles?
The Exterior Angle is the angle between any side of a shape, and a line extended from the next side. When we add up the Interior Angle and Exterior Angle we get a straight line 180°. They are "Supplementary Angles".
What is the sum of Interior and exterior angles in a triangle?
Remember the interior and exterior angle add up to 180°. Calculate the size of the exterior and interior angle in a regular pentagon. Using the fact that interior plus exterior angles at a point add to 180°. The sum of the angles in a triangle is 180°.