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18 votes
Solve for x. show your work.​

Solve for x. show your work.​-example-1
User Benni
by
4.3k points

2 Answers

6 votes

Answer:

x=8

Explanation:

These angles are what we call corresponding angles. This simply means that they are the same. Therefore, we set 17x-4 equal to 12+15x. To isolate x, add 4 to both sides, and subtract 15x from both sides. 2x=16. x=8. To check, both angles = 132 degrees.

User Vedant Agarwala
by
3.9k points
0 votes

Hello!


\large\boxed{x = 8}

The two angles pictured are corresponding angles, so they are congruent.

Therefore:

17x - 4 = 12 + 15x

Isolate for x by subtracting 15x from both sides:

2x - 4 = 12

Add 4 to both sides:

2x = 16

Divide both sides by 2:

x = 8.

User Ywbaek
by
4.2k points