Vertical and Adjacent Angles TeacherTwins©2014

Warm Up Supp. Supp. Comp Comp. (x+6)° 68 X= 54 X=29 x◦ 15 (5x)° Identify the pairs of angles as complementary or supplementary or neither. 1). 45° and 45° 2). 36° and 54° 3). 65° and 115° 4).135° and 45° Find the value of “x” for each figure. 5). 6). 7). 8). Supp. Supp. Comp Comp. (x+6)° 68 X= 54 112◦ x◦ 30◦ X=29 x◦ 15 75◦ (5x)° 35◦

Flippable

Vertical angles- Angles that are opposite of each other when two lines intersect. < 1 and < 3 are vertical angles. < 2 and < 4 are vertical angles.

Adjacent angles- Angles that have a common side, a common vertex and do not overlap. < 1 and < 2 are adjacent angles. <2 and < 3 are adjacent angles. <4 and < 3 are adjacent angles. <1 and < 4 are adjacent angles.

Example 1: Name all of the vertical angles and adjacent angles.

Example 2: Find the value of x and the measure of <1, <3 and < 4. < 1 is 105 degrees <3 is 105 degrees < 4 is 75 degrees (3x + 15)° 75° 1 2 4 3

Practice <1 is 135° < 2 is 45° < 3 is 135° 1). Name 3 sets of vertical angles. 2). Name 4 sets of adjacent angles. 3). Name 1 set of supplementary angles. 4). If angle 4 is 45° what is the measure of <1, < 2 and < 3? <1 is 135° < 2 is 45° < 3 is 135°

Find the value of x and the measure of <1, <3 and < 4. Closure Find the value of x and the measure of <1, <3 and < 4. (x + 40)° 60° X = 80 <1 is 120 degrees <3 is 120 degrees <4 is 60 degrees 1 2 4 3