2 minutes Bell Ringer 10-17 p. 50-51 1, 3, 9 3 minutes Then turn to p. 40 to Bisect an angle Follow steps 1-4 Use an entire sheet of paper in your notebook.

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Presentation transcript:

2 minutes Bell Ringer p , 3, 9 3 minutes Then turn to p. 40 to Bisect an angle Follow steps 1-4 Use an entire sheet of paper in your notebook

Concept

Example 2 Angle Measure ALGEBRA Find the measures of two supplementary angles if the measure of one angle is 6 less than five times the measure of the other angle. UnderstandThe problem relates the measures of two supplementary angles. You know that the sum of the measures of supplementary angles is 180. PlanDraw two figures to represent the angles.

Example 2 Angle Measure 6x – 6= 180Simplify. 6x= 186Add 6 to each side. x= 31Divide each side by 6. Solve

Example 2 Angle Measure Use the value of x to find each angle measure. m  A = xm  B = 5x – 6 = 31 = 5(31) – 6 or 149 Answer: m  A = 31, m  B = 149 CheckAdd the angle measures to verify that the angles are supplementary. m  A + m  B= = = 180 

Example 2 ALGEBRA Find the measures of two complementary angles if one angle measures six degrees less than five times the measure of the other.

Concept

Practice Problems P , 15, 19, 21

Example 3 Perpendicular Lines ALGEBRA Find x and y so that KO and HM are perpendicular.

Example 3 Perpendicular Lines 90= (3x + 6) + 9xSubstitution 90= 12x + 6Combine like terms. 84= 12xSubtract 6 from each side. 7= xDivide each side by 12.

Example 3 Perpendicular Lines To find y, use m  MJO. m  MJO =3y + 6Given 90 =3y + 6 Substitution 84 =3ySubtract 6 from each side. 28 =yDivide each side by 3. Answer: x = 7 and y = 28

Example 3

Concept p. 49 Read 2 paragraphs above this diagram

Example 4 Interpret Figures A. Determine whether the following statement can be justified from the figure below. Explain. m  VYT = 90

Example 4 Interpret Figures B. Determine whether the following statement can be justified from the figure below. Explain.  TYW and  TYU are supplementary. Answer: Yes, they form a linear pair of angles.

Example 4 Interpret Figures C. Determine whether the following statement can be justified from the figure below. Explain.  VYW and  TYS are adjacent angles. Answer: No, they do not share a common side.

Example 4a A. Determine whether the statement m  XAY = 90 can be assumed from the figure. A.yes B.no

Example 4b B. Determine whether the statement  TAU is complementary to  UAY can be assumed from the figure. A.yes B.no

Class Assignment p. 50 – , 17, 25, 29, 31 HW p even, 20, 22, 26, Read 1-6 Take Notes

Constructing Perpendiculars p. 55