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Angle sum theorem: The angle measures in any triangles add up to 180 degrees. Key concept: Alternate interior angles are equal. I claim that angle x is equal to 85 degrees so the sum is 180 degrees. To see why this is so, draw a line parallel to AC at vertex B.

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Triangle Angles and Sides The sum of the angles of a triangle is 180 degrees. The measure of an exterior angle of a triangle is equal to the sum of the remote interior angles. The measure of an exterior angle of a triangle is greater than that of either remote interior angle. When two angles of a triangle are equal, their opposite sides are ...

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Use Pythagorean Theorem to solve problems involving right triangles. Use triangle angle sum relationships to solve problems. Grade 8: Characteristics and Properties. Indicator #1: Make and test conjectures about characteristics and properties (e.g., sides, angles, symmetry) of two-dimensional figures and three-dimensional objects. Triangle Angle-Sum Theorem. If the measures of two angles of a triangle are known, the measure of the third angle can always be found. ... For each exterior angle of ...

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3 Theorems 2.6 and 2.7 Theorem 2.8 Vertical Angle Theorem Theorems 2.9 – 2.13 Right Angle Theorems CHAPTER 3 PARALLEL AND PERPENDICULAR LINES Postulate 3.1 Corresponding Angles Postulate

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We explain Triangle Exterior Angles Practice with video tutorials and quizzes, using our Many Ways(TM) approach from multiple teachers. This lesson provides practice problems that apply the triangle exterior angles theorem. </p> Now assert that the sum of the angles in all three triangles add up to the sum of the interior angles of the pentagon. You can see this visually. The sum of all the angles in the 3 triangles is 3*180 degrees which is indeed (n-2)*180 where n = 5.