Exterior and interior angles of a triangle worksheet answers pdf

The exterior angle theorem worksheet is a great tool for the children to excel in geometry subjects as angles form a major part of geometry, hence the basics of the angle and their theorems should be made very clear to the young minds. The exterior angle theorem mentions that the exterior angle when one particular side is extended is equal to the sum of the two opposite interior angles.

Benefits of Exterior Angle Theorem Worksheets

The exterior angle theorem worksheet presents the students with an array of questions related to the exterior and remote interior angles hence instilling the clear understanding of the angles' theorems.

The worksheets ensure to have the questions in an easy progressive manner which the students will find it easy to proceed with clearing the concept step by step. They will get better at finding the angles of triangles.

Read More :- Topic-wise Math Worksheets

Download Exterior Angle Theorem Worksheet PDFs

The exterior angle theorem worksheet helps the students solve unknown angles to find the interior and exterior angles of a triangle. These worksheets are visually appealing, and most of them are free to download.

Angles in a triangle worksheets contain a multitude of pdfs to find the interior and exterior angles with measures offered as whole numbers and algebraic expressions. Learn to apply the angle sum property and the exterior angle theorem, solve for 'x' to determine the indicated interior and exterior angles. These printable exercises are customized for students of 6th grade through high school. Access some of these worksheets for free!

Exterior and interior angles of a triangle worksheet answers pdf

Do the Angles form a Triangle?

The angle sum property states that the interior angles of a triangle add up to 180°. Figure out if the given sets of angles form a triangle by adding them. Respond to each with 'Yes' or 'No'.

  • Exterior and interior angles of a triangle worksheet answers pdf

Exterior and interior angles of a triangle worksheet answers pdf

Finding the Interior Angle

Subtract the sum of the two angles from 180° to find the measure of the indicated interior angle in each triangle.

  • Exterior and interior angles of a triangle worksheet answers pdf

Exterior and interior angles of a triangle worksheet answers pdf

Finding the Exterior Angle

Applying the exterior angle theorem, add the two opposite interior angles to find the unknown exterior angle of a triangle.

  • Exterior and interior angles of a triangle worksheet answers pdf

Exterior and interior angles of a triangle worksheet answers pdf

Interior Angles | Solve for 'x'

In these pdf worksheets, the measure of one of the interior angles of each triangle is presented as an algebraic expression. Set up an equation with the sum of the three angles, equating it with 180° and solve for 'x'.

  • Exterior and interior angles of a triangle worksheet answers pdf

Exterior and interior angles of a triangle worksheet answers pdf

Exterior Angles | Solve for 'x'

Equate the sum of the two sides with the exterior angle depicted as an algebraic expression. Simplify the expression and find the value of 'x' in this stack of printable worksheets for grade 7 and grade 8.

  • Exterior and interior angles of a triangle worksheet answers pdf

Exterior and interior angles of a triangle worksheet answers pdf

Find the Interior Angles | Solve for 'x'

Solve for 'x', substitute it in the expression(s) and find the measure of the indicated interior angle(s). The measures of two angles are offered as algebraic expressions in Part A and three angles in Part B.

  • Exterior and interior angles of a triangle worksheet answers pdf

Exterior and interior angles of a triangle worksheet answers pdf

Find the Indicated Angles | Solve for 'x'

Form an equation with the sum of the opposite angles with the exterior angle, simplify and find the value of 'x'. Plug it and compute the measure of the indicated angle in Part A and the measure of four angles in Part B.

  • Exterior and interior angles of a triangle worksheet answers pdf

Exterior and interior angles of a triangle worksheet answers pdf

Angles in Composite Triangles

Challenge high school students with the word format problems involving composite triangles containing right, isosceles and equilateral triangles. Determine the size of the indicated angles by applying the angle sum property and the exterior angle theorem.

  • Exterior and interior angles of a triangle worksheet answers pdf