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The value of x is..............???​

The value of x is..............???​-example-1

1 Answer

4 votes

Answer:

x = 3

Explanation:

There are two ways to do this. The simplest way is to realize that the exterior angle (45x) = the sum of the two remote interior angles.

25x and 57 + x

45x = 25x + 57 + x Subtract 26x from both sides.

45x - 26x = 25x - 25x + 57 Combine

19x = 57 Divide by 20

19x/19 = 57/19 Do the division

x = 3

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Second method.

The supplement of the 45x angle is 180 - 45x

Now add the three angles together.

180 - 45x + x + 57 + 25x = 180 Combine like terms.

180 + 57 - 45x + x + 25x = 180

237 - 19x = 180 Subtract 237 from both sides.

- 19 x = 180 - 237 Combine the right side

- 19x = -57

x = 3

Good thing you made me redo it. Sorry!! I made an error. I lost 1 of the xs.

User Dooleyo
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