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If the measure of angle 1 = 9x +6 and the measure of angle 2 = 2 (5x - 3), find x

If The Measure Of Angle 1 9x 6 And The Measure Of Angle 2 2 5x 3 Find X class=

Answer :

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Answer:

x=12

Step-by-step explanation:

<1 and <2 are equal since they are alternate exterior angles for parallel lines

9x+6 = 2(5x-3)

distribute

9x+6 = 10x-6

Subtract 9x from each side

9x+6-9x= 10x-6-9x

6 = x-6

Add 6 from each side

6+6 =x-6+6

12=x

Answer:

See below for answer.

Step-by-step explanation:

m∠1 = m ∠2        If lines are parallel, then alternating exterior angles are =

Therefore

a ║ b                            Given in the figure

m∠1 = m ∠2

 9x + 6 = 2(5x - 3)

  9x + 6 = 10x - 6          Distributive

  9x + 12 = 10x              Addition

          12 =  x                Subtraction

     

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