Activity To Verify The Exterior Angle Property Of A Triangle

Set up an equation with the sum of the three angles equating it with 180 and solve for x.

Activity to verify the exterior angle property of a triangle. Determine that the sum of the measures of the exterior angles of any convex polygon is 360. To verify experimentally that the sum of the angles of a quadrilateral is 360o. The formula for the angle sum property is S n 2 180 where n.

An exterior angle of a triangle is equal to the sum of its interior opposite angles. In these pdf worksheets the measure of one of the interior angles of each triangle is presented as an algebraic expression. Exterior Angle Property of a Triangle Theorem Theorem 2.

We can see a triangle ABC in blue color. Cut out the angles from the drawing sheet equal to A and B using a tracing. 1 2 ACD x y ACD.

The sum of all the angles of a triangle is always 180. The exterior opposite angle in a triangle is equal to sum of opposite interior angles. Produce the side BC of the triangle to a point D as shown in Fig.

Points A B and C are free points. For exterior angle property of a triangle refer to Activity 12. Exterior angle property of a triangle.

2 such that the sid e BC of ABC is extended. To verify experimentally that in a triangle the longer side has the greater angle opposite to it. The exterior angle theorem says that the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles.