Exterior Angle Worksheets
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7th Grade Math
There are five sets of triangle worksheets:
- Triangle Sum Theorem
- Exterior Angle Theorem
- Area of Triangle
- Area of Triangle using Sine
- Pythagorean Theorem
Examples, solutions, videos, and worksheets to help grade 7 students learn how to find unknown angles using the Exterior Angle Theorem.
How to use the Exterior Angle Theorem?
The Exterior Angle Theorem is a fundamental concept in geometry that relates the exterior angle of a triangle to the two non-adjacent interior angles. Specifically, the theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.
Mathematically, if you have a triangle with interior angles ∠A, ∠B, and ∠C, and an exterior angle at one of its vertices, say ∠D, the Exterior Angle Theorem can be expressed as:
∠D = ∠A + ∠B
In this theorem:
∠D is the exterior angle, typically formed by extending one side of the triangle.
∠A and ∠B are the two non-adjacent interior angles. These are the angles that do not share a side with the exterior angle.
The Exterior Angle Theorem is widely used to find the measures of exterior angles in triangles and to establish relationships between interior and exterior angles. It is an important tool for solving problems related to triangles and angles in geometry.
For example, if you know the measures of two interior angles in a triangle, you can use the Exterior Angle Theorem to find the measure of the exterior angle formed by extending one of the sides. This theorem is also helpful in understanding properties and relationships within triangles, especially when working with polygons and angle relationships in geometric figures.
Have a look at this video if you need to review how to find unknown angles using the Exterior Angle Theorem.
Click on the following worksheet to get a printable pdf document.
Scroll down the page for more Exterior Angle Worksheets.
More Exterior Angle Worksheets
Printable
(Answers on the second page.)
Exterior Angle Worksheet
Online
Angles in a Triangle 1
Angles in a Triangle 2
Quadrilateral Properties
Angles in a Quadrilateral
Angles in Polygons
Interior Angles in Polygons
Exterior Angles in Polygons
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