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 ...

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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