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Adjacent angles can be a complementary angle or supplementary angle when they share the common vertex and side. Adjacent Angle Example Consider a wall clock, The minute hand and second hand of clock form one angle represented as ∠AOC and the hour hand forms another angle with the second hand represented as∠COB. If you recall, Theorem 3 states that "if two sides of two 'adjacent acute angles' are perpendicular, the angles are therefore complementary." In this scenario, we do indeed have a perpendicular angle formed by the lines m and n. This angle is split by the third diagonal line, which creates two adjacent acute angles – in accordance with Theorem 3. Adjacent Angles: In plane geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Angles formed by two rays lie in a plane, but this plane does not have to be a Euclidean plane. Angles are also formed by the intersection of two planes in Euclidean and other ...

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Jan 06, 2014 · The measure of an exterior angle of a triangle is equal to the sum of the measures of the two interior angles that are not adjacent to it; this is the Exterior Angle Theorem. The sum of the measures of the three exterior angles (one for each vertex) of any triangle is 360 degrees. 13.

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