Exterior Angle Theorem Worksheet
Practice identifying and calculating exterior angles of triangles using the Exterior Angle Theorem.
Includes
Standards
Topics
Exterior Angle Theorem
Name:
Date:
Score:
Read each question carefully and answer to the best of your ability. Show your work where necessary.
The Exterior Angle Theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of its two remote interior angles.
1. Which of the following statements correctly defines the Exterior Angle Theorem?
The sum of all angles in a triangle is 180 degrees.
An exterior angle is equal to the sum of its adjacent interior angle and a remote interior angle.
An exterior angle is equal to the sum of its two remote interior angles.
The sum of an exterior angle and its adjacent interior angle is 90 degrees.
2. In the triangle below, identify the exterior angle and the two remote interior angles relative to it.
Exterior Angle:
Remote Interior Angle 1:
Remote Interior Angle 2:
3. For the triangle shown, calculate the measure of the exterior angle 'x'.
x =
4. If an exterior angle of a triangle is 110 degrees and one of its remote interior angles is 50 degrees, what is the measure of the other remote interior angle?
5. The exterior angle of a triangle is always greater than either of its remote interior angles.
True
False
Related Worksheets
Angle Identification Worksheet
Identify and classify different types of angles, including acute, obtuse, right, and straight angles.
Introduction to Fractals
Explore the fascinating world of fractals, self-similar geometric shapes, with this engaging Grade 6 math worksheet.
Introduction to Fractals
Explore the fascinating world of fractals, self-similar geometric shapes, with this engaging Grade 6 math worksheet.
Lateral Area Practice
This worksheet provides practice problems on calculating the lateral area of various three-dimensional shapes, suitable for 6th-grade math students.
Area Formulas Worksheet
A Grade 6 math worksheet covering the area formulas for rectangles, triangles, and parallelograms with practice problems.
Slicing 3D Figures Worksheet
Explore how different 3D figures can be sliced to reveal 2D cross-sections.
Intersecting Chords Worksheet
Practice problems for understanding and applying the intersecting chords theorem in circles.
Altitude of a Triangle Worksheet
Explore the concept of altitude in different types of triangles, including right, acute, and obtuse triangles, with this Grade 6 math worksheet.