Vertical and Adjacent Angles Teacher Twins 2014 Warm

Warm Up Identify the pairs of angles as complementary or supplementary or neither. Supp.

Vertical angles- Angles that are opposite of each other when two lines intersect. <

Adjacent angles- Angles that have a common side, a common vertex and do not

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

Practice 1). Name 3 sets of vertical angles. 2). Name 4 sets of adjacent

Closure Find the value of x and the measure of <1, <3 and <

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Warm Up Identify the pairs of angles as complementary or supplementary or neither. Supp. Comp. 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). 112◦ 7). x◦ 15 75◦ x◦ 68 6). (x+6)° X= 54 30◦ 8). X=29 35◦ (5 x)°

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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. 75° (3 x + 15)° 1 4 3 2 X = 30 < 1 is 105 degrees <3 is 105 degrees < 4 is 75 degrees

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

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