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2.7 – Prove Angle Pair Relationships

2.7 – Prove Angle Pair Relationships. right. congruent. linear. pair. supplementary. supplementary. congruent. 2. 1. m 1 + m 2 = 180 °. 3. m 2 + m 3 = 180 °. 1  3. Congruent Complements Theorem: If two angles are ______________________ to

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2.7 – Prove Angle Pair Relationships

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  1. 2.7 – Prove Angle Pair Relationships

  2. right congruent

  3. linear pair supplementary

  4. supplementary congruent 2 1 m1 + m2 = 180° 3 m2 + m3 = 180° 1  3

  5. Congruent Complements Theorem: If two angles are ______________________ to the same angle, then they are ___________ . complementary congruent

  6. congruent

  7. 1. If m1 = 53°, find m2, m3, m4, and m5. 37° 53° 90° 37° 53°

  8. 2. If m4 + m3 = 144°, find m1, m2, and m5. 36° 144° 36° 54°

  9. 3. Find the value of x. 3x + 48 = 180 -48 -48 3x = 132 3 3 x = 44°

  10. 3. Find the value of x. 6x – 2 + 7x = 180 13x – 2 = 180 +2 +2 13x = 182 13 13 x = 14°

  11. 3. Find the value of x. 8x = 80 8 8 x = 10°

  12. 3. Find the value of x. 9x + 7= 5x + 67 -5x -5x. 4x + 7 = 67 -7 -7 4x = 60 4 4 x = 15°

  13. 4. Find the value of x and y. Then find the measure of each angle. 144° 36° 36° 144° 4y + 17y – 9 = 180 21x – 3 + 5x + 1 =180 26x – 2 = 180 21y – 9 = 180 21y = 189 26x = 182 x = 7 y = 9 4(9) = 36°

  14. 4. Find the value of x and y. Then find the measure of each angle. 82° 98° 82° 98° 3x + 7 = 4x – 18 7y = 5y + 28 7 = x – 18 2y = 28 25 = x y = 14 7(14) = 98°

  15. HW Problem HW Problem 2.7 # 37

  16. 1. Given 2. Def. of comp. angles m1+m2 = m1+m3 m2 = m3 5. Def. congruent angles

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