Answer:
x = 3
Step-by-step 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.
