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Angles 1 and 3 are directly across from each other. They are called vertical angles. They share only a vertex. They always measure the same. Therefore, if angle 1 measures 27 degrees, angle 3 will measure degrees. 1 2 4 3 Angles 2 and 4 are also directly across from each other. They are vertical too. They share only a vertex. They always measure the same. Therefore, if angle 2 measures 153 degrees, angle 4 will measure degrees. 1 2 4 3 Angles that make 180 degrees together are called supplementary angles. If we know the measure of one angle, we can subtract from 180∘ to find the missing angle. 180∘ - 50∘ = 50 o o Angles that make 180 degrees together are supplementary angles. The missing angle is: o 25 o Angles that make 180 degrees together are called supplementary angles. The missing angle isL 112 o o Angles that make 180 degrees together are called supplementary angles. The missing angle is: 75 o o Angles that make 90 degrees together are called complementary angles. If we know the measure of one angle, we can subtract from 90 to find the missing angle. 90∘ - 25∘ = x o 25 o Angles that make 90 degrees together are called complementary angles. The missing angle is: x 67 o o The two indicated angles are x = supplementary angles complementary angles vertical angles o x 28 o The two indicated angles are x = x o supplementary angles complementary angles vertical angles o 141 o The two indicated angles are x = supplementary angles complementary angles x vertical angles o 52 o Solve for x. x = 2x 112 o Solve for x. x = 110 2x o Solve for x. x = 2x 28 o |