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34 votes
34 votes
If angle 2=6x+8 and angle 4=4x+11 what is the value of angle 2?

If angle 2=6x+8 and angle 4=4x+11 what is the value of angle 2?-example-1
User Stefanobaldo
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1 Answer

19 votes
19 votes

Answer:

17

Explanation:

Angle 2 and angle 4 are alternate exterior angles so they congruent angles which means they have same angle measurement.

To find the measure of angle 2 we first need to find the value of x.

And to do that we can write the following equation based on the information we have in hand:

6x + 8 = 4x + 11 transfer like terms to the same side of the equation

6x - 4x = 11 - 8 add/subtract like terms

2x = 3 divide both sides by 2

x = 1.5 now to find the measure of angle 2 replace x with 1.5

6×(1.5)+8 = 17

User Kickinchicken
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