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Angle Relationships Section 1.7.

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Presentation on theme: "Angle Relationships Section 1.7."— Presentation transcript:

1 Angle Relationships Section 1.7

2 Warm Up Simplify each expression. 1. 90 – (x + 20) – (3x – 10) Write an algebraic expression for each of the following. 3. 4 more than twice a number 4. 6 less than half a number

3 Vertical Angles: Two non adjacent angles formed by two intersecting lines.

4 Name: Adjacent ∠’s 2. Linear pairs 3. Vertical ∠’s

5 What is the relationship.

6 Supplementary Angles Angles that add up to 180 degrees.

7 Complementary Angles Angles that add up to 90 degrees.

8 Find the measure of each of the following.
A. complement of F B. supplement of G

9 Find the measure of each of the following.
a. complement of E b. supplement of F

10 Find x and MEASURE OF ∠AZD

11 Find x and MEASURE OF ∠AZD

12 Gh AND jk INTERESECT AT i. FIND THE VALUE OF X AND M∠JIH.

13 Gh AND jk INTERESECT AT i. FIND THE VALUE OF X AND M∠gik.

14 FIND M∠egf

15 FIND x and THE M∠cde.

16 FIND the MEASURE of each angle.
1. m∠ SOT 2. m∠ POU 3. m∠ ROS 4. m∠ POR 5. m∠ SOU 6. m∠ TOU 7. m∠ POS 8. m∠ UOQ

17 A. Name 2 pairs of vertical angles.
B. If ray BF bisects ∠ABC, what two angles must be equal. C. Classify each as acute, obtuse, right or straight. 1. ∠BAF 2. ∠FCE 3. ∠BFA

18 An angle is 10° more than 3 times the measure of its complement
An angle is 10° more than 3 times the measure of its complement. Find the measure of the complement.

19 An angle’s measure is 12° more than the measure of its supplement
An angle’s measure is 12° more than the measure of its supplement. Find the measure of the angle.

20 Lesson Quiz: Part I mA = 64.1°, and mB =(4x – 30)°. Find the measure of each of the following. supplement of A 2. complement of B 3. Determine whether this statement is true or false. If false, explain why. If two angles are complementary and congruent, then the measure of each is 90°.

21 mXYZ = 2x° and mPQR = (8x - 20)°.
4. If XYZ and PQR are supplementary, find the measure of each angle. 5. If XYZ and PQR are complementary, find the measure of each angle.

22 Homework

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