solve for x and then find the measure of each angle solve for x 8x – 8 = 7x + 3 -7x 1x – 8 = 3 +...
TRANSCRIPT
Solve for x and then find the measure of each angle Solve for x
8x – 8 = 7x + 3
8x – 8 = 7x + 3-7x -7x 1x – 8 = 3 + 8 + 8 1x = 11 ÷1 ÷ 1
x = 11
Solve for x
Set both
values equal to
each other
Bellwork: Thursday May 17th
Bellwork Continued: Use x to find the measure of the angles
Step 1: Solve for x x = 11Step 2: Plug the “x” value into both angles
Step 3: Find the value of the two angles
Angle 1 = 80°Angle 2 = 80°
Step 4: Check to see that both angles have the same measure
80° = 80°7 11 + 3
8 11 – 8
Homework Answers
Angle 1 = 135˚Angle 2 = 135˚ Angle 1 = 50˚
Angle 2 = 50˚
Angle 1 = 46˚Angle 2 = 46˚
Angle 1 = 90˚Angle 2 = 90˚
Angle 1 = 130˚Angle 2 = 130˚
Angle 1 = 68˚Angle 2 = 68˚
Angle 1 = 119˚Angle 2 = 119˚
Angle 1 = 60˚Angle 2 = 60˚
Solve for x and then find the measure of each angle for x
Solve for x9x + 2 = 10x – 10
9x + 2 = 10x – 10 -10x -10x -1x + 2= -10 - 2 -2 -1x = -12 ÷-1 ÷ -1
x = 12
Solve for x
Set both
values equal
to each other
Review #1
Use x to find the measure of the anglesStep 1: Solve for x x = 12Step 2: Plug the “x” value into both angles
Step 3: Find the value of the two angles
Angle 1 = 110°Angle 2 = 110°
Step 4: Check to see that both angles have the same measure 110° = 110°10 12 – 10
9 12 + 2
Review #1 continued
Match the following words with the correct definition.
1. Complementary2. Supplementary3. Alternate Exterior
Angles4. Alternate Interior
Angles5. Corresponding Angles
A. Angles in the same location on two different parallel lines cut by a transversal
B. Angles whose sum is 180°
C. Angles whose sum is 90°D. Two non-adjacent angles
inside two parallel lines cut by a transversal
E. Two non-adjacent angles outside two parallel lines cut by a transversal
12
3
4
5
Review #2
•Two angles whose sum equals 90° are called what?
Complementary Angles
Review #3
Find the value of x by writing and solving an equation
x
x + 68 = 90 -68 -68
x = 22°
Review #4
Find the value of x by writing and solving an equation.
x
56°
Review #5
Find the value of x and then find the measure of each angle
Solve for x22x + 10 + 58 = 90
22x + 68 = 90 - 68 -68 2x = 22 ÷2 ÷2
x = 11
Review #6
Use x to find the measure of the angles
Step 1: Solve for x x = 11Step 2: Plug the “x” value into both angles
Step 3: Find the value of the two angles
Angle 1 = 58°Angle 2 = 32°
Step 4: Check to see that the angles add up to 90° or 180 °
58° + 32° = 90°
Review #6 continued
Find the value of x and then find the measure of each angle
Solve for x5x + 1 + 3x + 9 = 90
8x + 10 = 90 - 10 -10 8x = 80 ÷8 ÷8
x = 10
Review #7
Use x to find the measure of the angles
Step 1: Solve for x x = 10Step 2: Plug the “x” value into both angles
Step 3: Find the value of the two angles
Angle 1 = 39°Angle 2 = 51°
Step 4: Check to see that the angles add up to 90° or 180 °
39° + 51° = 90°
Review #7 continued
•Two angles whose sum equals 180° are called what?
Supplementary Angles
Review #8
Find the value of x by writing and solving an equation
x
X + 135 = 180 -135 -135
x = 45°
Review #9
Find the value of x by writing and solving an equation
x
51°
Review #10
Find the value of x and then find the measure of each angle
Solve for x2x + 28 + 92 = 180
2x + 120 = 180 - 120 -120 2x = 60 ÷2 ÷2
x = 30
Review #11
Use x to find the measure of the angles
Step 1: Solve for x x = 30Step 2: Plug the “x” value into both angles
Step 3: Find the value of the two angles
Angle 1 = 88°Angle 2 = 92°
Step 4: Check to see that the angles add up to 90° or 180 °
88° + 92° = 180°
Review #11 continued
Find the value of x and then find the measure of each angle
Solve for xx + 3 + 4x + 2 = 180
5x + 5 = 180 - 5 -5 5x = 175 ÷5 ÷5
x = 35
Review #12
Use x to find the measure of the angles
Step 1: Solve for x x = 35Step 2: Plug the “x” value into both angles
Step 3: Find the value of the two angles
Angle 1 = 38°Angle 2 = 142°
Step 4: Check to see that the angles add up to 90° or 180 °
38° + 142° = 180°
Review #12 continued
•What do you call congruent angles that are on the
inside of the parallel lines but on opposite sides of the
transversal?Alternate
Interior Angles
Review #13
•What do you call congruent angles that are on the
outside of the parallel lines but on opposite sides of the
transversal?Alternate
Exterior Angles
Review #14
Find the value of two unknown angles
112°68°
Review #15
Find the value of two unknown angles
130°50°
Review #16
Find the value of two unknown angles
76°
104°
Review #17
Find the value of two unknown angles
98°
82°
Review #18
Find the value of x and then find the measure of each angle
Solve for x
16x – 8 = 8 + 14x -14x -14x 2x – 8 = 8 + 8 + 8 2x = 16 ÷ 2 ÷ 2
x = 8
Review #19
Find the value of x and then find the measure of each angle
Substitute x with 8 then simplify16x – 8 and 8 + 14x
16(8) – 8 and 8 + 14(8)
120˚
Review #19 continued
Find the value of x and then find the measure of each angle
Solve for x
17x + 3 = 105 - 3 - 3 17x = 102 ÷17 ÷ 17
x = 6
Review #20
Find the value of x and then find the measure of each angle
Substitute x with 6 then simplify17 x + 3 and 105°
17(6) + 3 and 105°
105˚
Review #20 continued
•What do you call congruent angles in the same location on two
different parallel lines cut by a transversal?Corresponding Angles
Review #21
Find the value of x and then find the measure of each angle
Solve for x
7x – 10 = 5x + 10-5x -5x2x – 10 = 10 + 10 + 10 2x = 20 ÷2 ÷2
x = 10
Review #22
Find the value of x and then find the measure of each angle
Substitute x with 10 then simplify7x – 10 and 5x + 10
7(10) – 10 and 5(10) + 10
60˚
Review #22 continued
Find the value of x and then find the measure of each angle
Solve for x
11x – 6 = 10x-11x -11x -6 = -1x ÷-1 ÷-1
x = 6
Review #23
Find the value of x and then find the measure of each angle
Substitute x with 6 then simplify10x and 11x – 6
10(6) and 11(6) – 6
60˚
Review #23 continued
Homework• Review worksheet. • Remember…Quiz tomorrow.