Download Pairs of Angles Adjacent Angles: are two angles in

Pairs of Angles
Adjacent Angles: are two angles in the same plane with a common vertex and a common side, but no common interior points. A linear pair of angles is a pair of adjacent angles whose noncommon sides are opposite rays. Example 4: Determine whether the angles are only adjacent, adjacent and form a linear pair, or not adjacent. 1). ∠1 and ∠2 2). ∠2 and ∠4 3). ∠1 and ∠3 Complementary and Supplementary Angles:
Complementary Angles: are two angles whose measures have a sum of 90°. Complement of angle = 90 – (given angle) Supplementary Angles: are two angles whose measures have sum of 180° Supplement of angle = 180 – (given angle) Example 5: Find the complement and supplement of each angle using the formulas from above. Show your work. a). 𝑚∠𝑀 = 26.8° b). 𝑚∠𝑁 = (2𝑦 + 20)° Complement= Complement= Supplement = Supplement = Example 6: Use complements and supplements to solve the following problems. Show your work. 1). An angle measures 3 degrees less than twice the 2). An angle’s measure is 12 degrees more than half the measure of its complement. Find the measure of its measure of its supplement. Find the measure of its complement. supplement. Let the unknown angle = 𝑥 Let the unknown angle = _________ The complement of the angle = 90 − 𝑥 The complement of the angle = _________ Therefore, 𝑥 = 2 90 − 𝑥 − 3 Therefore, _____ = __________________ Find the measure of x and its complement. Find the measure of angle and its supplement. Example 7: Light passing through a fiber optic cable reflects off the walls in such a way that ∠1 ≅ ∠2. ∠1 and ∠3 are complementary, and ∠2 and ∠4 are complementary. If 𝑚∠ = 38°, find 𝑚∠2, 𝑚∠3, and 𝑚∠4. Vertical Angles: are two congruent nonadjacent angles formed by two intersecting lines. ∠1 and ∠3 are vertical angles as are ∠2 and ∠4 Example 8: Name both pairs of vertical angles. 1). 2).