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1 vote
Use the figure below. If line a II b | c andm3 = (5x+

6) and m29 = (6x-2), find the measure of the following angles.
11/12
1/2
3/4
78
१ 10
5/6
a
b
C
mz1 =
mz3 =
m47 =
m28=
m²11 =

asked
User Giaset
by
8.6k points

1 Answer

3 votes

Answer:

1. Angle 11/12: Since angle 11/12 is opposite angle m29, they have equal measures. Therefore, the measure of angle 11/12 is (6x-2).

2. Angle 1/2: Angle 1/2 is a vertical angle to angle 11/12. Vertical angles are congruent, meaning they have equal measures. So, the measure of angle 1/2 is also (6x-2).

3. Angle 3/4: Angle 3/4 is opposite angle m3, so they have equal measures. Therefore, the measure of angle 3/4 is (5x+6).

4. Angle 78: Angle 78 is a right angle. In a right triangle, one of the angles is always 90 degrees.

5. Angle १ 10: Angle १ 10 is opposite angle 3/4, so they have equal measures. Therefore, the measure of angle १ 10 is (5x+6).

6. Angle 5/6: Angle 5/6 is a vertical angle to angle १ 10. Vertical angles are congruent, so the measure of angle 5/6 is also (5x+6).

7. Angle a: The measure of angle a is equal to the measure of angle 3/4, which is (5x+6).

8. Angle b: The measure of angle b is equal to the measure of angle १ 10, which is (5x+6).

9. Angle C: Angle C is opposite angle a, so they have equal measures. Therefore, the measure of angle C is (5x+6).

10. Angle mz1: Angle mz1 is equal to angle 11/12, which is (6x-2).

11. Angle mz3: Angle mz3 is equal to angle 3/4, which is (5x+6).

12. Angle m47: Angle m47 is equal to angle b, which is (5x+6).

13. Angle m28: Angle m28 is equal to angle C, which is (5x+6).

14. Angle m²11: Angle m²11 is equal to angle 1/2, which is (6x-2).

Explanation:

answered
User Nussjustin
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