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Definition of Linear Pair: 1. You can determine the complement of a given angle by subtracting it from 90°. Complementary angles are angle pairs whose measures sum to one right angle (1 / 4 turn, 90°, or π / 2 radians). 75º 75º 105º 105º Vertical angles … Suppose if one angle is x then the other angle will be 90 o – x. They share the same vertex and the same common side. Now, a supplementary pair could be angle 4 and angle 5 which are adjacent and they are linear. Since two angles do not need to be adjacent to be complementary, given enough information, we do not even need to have a diagram of complementary angles to figure them out. The supplementary angle theorem states that if two angles are supplementary to the same angle, then the … sin(θ) = cos(90°-θ) and sin(90°-θ) = cos(θ), tan(θ) = cot(90°-θ) and tan(90°-θ) = cot(θ). The angles can be either adjacent (share a common side and a common vertex and are side-by-side) or non-adjacent. Note that 48° + 42° = 90° verifies that ∠α and ∠θ are complementary. Look at the diagrams below and see if you can identify the complementary angles. Example. In right triangle ABC above, ∠C = 90° so angles A and B are complementary and, The definition of supplementary is two angles whose sum is 180° are supplementary. angle ABD= 2x-3 angle DBC=x +3 angle ABD+m

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