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Bellwork: Thursday May 17th 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 Set both values equal to each other Solve for x Bellwork Continued: Use x to find the measure of the angles 8 11 – 8 Step 1: Solve for x x = 11 Step 2: Plug the “x” value into both angles Step 3: Find the value of the two angles Angle 1 = 80° Angle 2 = 80° 7 11 + 3 Step 4: Check to see that both angles have the same measure 80° = 80° 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 x 9x + 2 = 10x – 10 9x + 2 = 10x – 10 -10x -10x -1x + 2= -10 - 2 -2 -1x = -12 ÷-1 ÷ -1 x = 12 Set both values equal to each other Solve for x Use x to find the measure of the angles 9 12 + 2 Step 1: Solve for x x = 12 Step 2: Plug the “x” value into both angles Step 3: Find the value of the two angles Angle 1 = 110° Angle 2 = 110° 10 12 – 10 Step 4: Check to see that both angles have the same measure 110° = 110° Match the following words with the correct definition. 1. 2. 3. 4. 5. Complementary Supplementary Alternate Exterior Angles Alternate Interior Angles 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 •Two angles whose sum equals 90° are called what? Find the value of x by writing and solving an equation Find the value of x by writing and solving an equation. Find the value of x and then find the measure of each angle Solve for x 22x + 10 + 58 = 90 22x + 68 = 90 - 68 -68 2x = 22 ÷2 ÷2 x = 11 Use x to find the measure of the angles Step 1: Solve for x x = 11 Step 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° Find the value of x and then find the measure of each angle Solve for x 5x + 1 + 3x + 9 = 90 8x + 10 = 90 - 10 -10 8x = 80 ÷8 ÷8 x = 10 Use x to find the measure of the angles Step 1: Solve for x x = 10 Step 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° •Two angles whose sum equals 180° are called what? Find the value of x by writing and solving an equation Find the value of x by writing and solving an equation Find the value of x and then find the measure of each angle Solve for x 2x + 28 + 92 = 180 2x + 120 = 180 - 120 -120 2x = 60 ÷2 ÷2 x = 30 Use x to find the measure of the angles Step 1: Solve for x x = 30 Step 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° Find the value of x and then find the measure of each angle Solve for x x + 3 + 4x + 2 = 180 5x + 5 = 180 - 5 -5 5x = 175 ÷5 ÷5 x = 35 Use x to find the measure of the angles Step 1: Solve for x x = 35 Step 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° • What do you call congruent angles that are on the inside of the parallel lines but on opposite sides of the transversal? • What do you call congruent angles that are on the outside of the parallel lines but on opposite sides of the transversal? Find the value of two unknown angles Find the value of two unknown angles Find the value of two unknown angles Find the value of two unknown angles 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 Find the value of x and then find the measure of each angle Substitute x with 8 then simplify 16x – 8 and 8 + 14x 16(8) – 8 and 8 + 14(8) 120˚ 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 Find the value of x and then find the measure of each angle Substitute x with 6 then simplify 17 x + 3 and 105° 17(6) + 3 and 105° 105˚ •What do you call congruent angles in the same location on two different parallel lines cut by a transversal? Find the value of x and then find the measure of each angle Solve for x 7x – 10 = 5x + 10 -5x -5x 2x – 10 = 10 + 10 + 10 2x = 20 ÷2 ÷2 x = 10 Find the value of x and then find the measure of each angle Substitute x with 10 then simplify 7x – 10 and 5x + 10 7(10) – 10 and 5(10) + 10 60˚ 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 Find the value of x and then find the measure of each angle Substitute x with 6 then simplify 10x and 11x – 6 10(6) and 11(6) – 6 60˚ Homework • Review worksheet. • Remember…Quiz tomorrow.