Exterior Angle Property of Triangles
Explore and apply the exterior angle property of triangles to solve for unknown angles in various geometric figures.
Includes
Standards
Topics
Exterior Angle Property of Triangles
Name:
Date:
Score:
Read each question carefully and use the exterior angle property of triangles to find the unknown angles. Show all your work.
1. State the Exterior Angle Property of a Triangle in your own words.
2. In the triangle above, find the value of x.
3. The exterior angle of a triangle is equal to the sum of the two interior angles.
4. If the two opposite interior angles are 45° and 85°, then the exterior angle is .
5. Which of the following statements is true regarding the exterior angle of a triangle?
It is always acute.
It is equal to the adjacent interior angle.
It is equal to the sum of the two opposite interior angles.
It is always less than 90 degrees.
6. In the given triangle PQR, the exterior angle at Q is 130°. If the interior opposite angles are 2y and 3y, find the value of y and the measure of each interior angle.
7. The sum of an exterior angle and its adjacent interior angle is always 180°.
True
False
Related Worksheets
Segment Length Practice Worksheet
Grade 11 Math worksheet focusing on calculating and applying segment lengths in various geometric contexts, including number lines, coordinate planes, and geometric figures.
Similar Figures Worksheet
This worksheet focuses on understanding and applying the properties of similar figures, including triangles and polygons, at a Grade 11 level. Students will solve problems involving scale factors, missing side lengths, and angle measures.
Secants in Circles Worksheet
Explore properties of secant lines in circles, including the Secant-Secant Theorem and tangent-secant relationships, with this Grade 11 mathematics worksheet.
Secant-Tangent Theorem Worksheet
Explore and apply the Secant-Tangent Theorem to solve for unknown lengths and angles in circles.
Triangular Prisms: Surface Area and Volume
This worksheet focuses on calculating the surface area and volume of triangular prisms, suitable for Grade 11 math students.
Triangle Sum Theorem Worksheet
A Grade 11 math worksheet focusing on the Triangle Sum Theorem, including various problem types to reinforce understanding of triangle angle properties.
Similar Solids Worksheet - Grade 11 Geometry
Explore the properties of similar solids, including their ratios of corresponding linear measures, areas, and volumes, with these challenging problems.
Eccentricity of Conic Sections
This worksheet focuses on understanding and calculating the eccentricity of conic sections, including ellipses, hyperbolas, and parabolas, for Grade 11 students.