Notice how the interior angles are in between the two parallel lines and the exterior angles are to the outside. ... As Shown below, there are also two pairs of alternate interior angles and two pairs of alternate exterior angles. We can use our knowledge of parallel lines to prove (deductively) this theorem. The measurements of the three interior angles are given. We can see that ∠B and ∠H are exterior alternate angles. Properties of Angles and Straight Lines 1. The exterior angle of a triangle is equal to the sum of its interior opposite angles. Triangles can be classified in 2 major ways: Classification according to internal angles In this article, we will learn about such transversals and how they help us in finding different properties … Hence the lines p and q are parallel. Properties of Angles. The total angle at a point is 360 ° w +x+y+z=3600 2. Two angles are said to be Co-exterior angles if they are exterior angles and lies on same side of the transversal. Linear Pair of Angles Theory For straight line refer to Activity […] The following figures give the some examples of co-interior angles. When two straight lines cross, vertically opposite angles are equal. Any exterior angle of the triangle is equal to the sum of its interior opposite angles. The Consecutive Interior Angles Theorem states that if two parallel lines are cut by a transversal, then each pair of alternate interior angles is congruent. Co-Exterior Angles: Exterior angles on the same side of the transversal. - Corresponding angles - Alternate angles - Co-interior angles (supplementary) Angle sum of triangles . The total angle on a straight line is 180 ° In the diagram, x+y+z=1800 3. Well, transversal is one of the main connecting links between any two lines (or parallel lines). Materials Required Cardboard sheet Adhesive Glazed papers White chart paper Geometry box Tracing paper Cutter Prerequisite Knowledge Straight angle Exterior angle property of a triangle. Types of triangles. We can verify this using other angles. It is given that ∠H = 60°. The measure of each interior angle of an equiangular n-gon is. An exterior angle is the angle formed on the outside of the triangle. The exterior angle d equals the angles a plus b. ... FOM 11 2.3 Angle Properties In Triangles The sum of the angles in a triangle is 180 °°°°. If you count one exterior angle at each vertex, the sum of the measures of the exterior angles of a polygon is always 360°. Exterior angle properties . Grades K-8 Worksheets. Simply add the two non-adjacent angles, and you have found the measure of the exterior angle. The side opposite to the largest angle of a triangle is the largest side. How to use the Consecutive Interior Angles Theorem? This is called the exterior angle property of a triangle. So in the below figure ( ∠4, ∠5) , ( ∠3, ∠6) are Co-interior angles or consecutive angles or allied interior angles. 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