..."alphabet." 6-7. Problem 2.6 touches on these theorems. B.4 Triangles 1. A theorem on the exterior angle. An exterior angle of a triangle is equal to the sum of the nonadjacent interior angles. 2. A theorem on the medians. The three medians of a triangle intersect...

...0 The acute angles of a right triangle are complementary. 2. Exterior Angle Theorem The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles. remote interior angles exterior angle C D 0 The measure...

...to ABED, and you know how exterior angles are related to nonadjacent interior angles: the measure of an exterior angle of a triangle is equal to the sum of the measures of the nonadjacent interior angles. I think you're ready for the columns. Statements Reasons...

...exterior angle is outside the shape. It is made by extending one of the lines of the side of the shape. An exterior angle of a triangle is equal to the sum of the two interior opposite angles. i + d = 180° (angles on a straight line) n + b + c = 180° (angles...

...180°. x + y + z=180 a + b + c=180 If a side of a triangle is extended an exterior angle is formed. An exterior angle of a triangle is equal to the sum of the interior opposite angles. m' + n" There are two theorems concerning isosceles triangles: • If...

...angles are equal. 4. Angle sum of a triangle = 1 80° 5. Angle sum of a quadrilateral =360° Le. 6. The exterior angle of a triangle is equal to the sum of the two opposite interior angles. (B) Properties of Polygons 7. Angle sum of any polygon = (n - 2) x 1 80° where n = number of sides...

...provided a direct explanation of her thinking. She read the definition of the theorem: "The measure of an exterior angle of a triangle is equal to the sum of the measures of the two nonadjacent interior angles." She then explained her understanding of the theorem:...