SOLUTION: If the angle is 42 degrees. The side opposite the angle is 3x+3 and the side adjacent to the angle is 4x. What is X ?
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Question 667663: If the angle is 42 degrees. The side opposite the angle is 3x+3 and the side adjacent to the angle is 4x. What is X ?
Found 2 solutions by gwendolyn, MathTherapy:
Answer by gwendolyn(128) (Show Source): You can put this solution on YOUR website!
Remember that opposite angles are always equivalent, and adjacent angles always add up to 180 degrees.
So, we know that an angle opposite to an angle with a measure of 42 *also* has a measure of 42.
If this opposite angle of 42 degrees is equal to 3x+3, then we can write the equation:
3x+3=42
Now, we just have to solve it. First, let's subtract 3 from both sides:
3x=39
Then, let's divide both sides by 3:
3x/3 = 39/3
x=13
So, it looks like x is equal to 13 degrees. Let's check this with the other piece of information we were given. If the angle of 4x is next to an angle with 42 degrees, then we know that the value of 4x is equal to 180 degrees minus 42 degrees. So:
4x=180-42
We perform the subtraction:
4x=138
Finally, we divide both sides by 4:
x=34.5
Unfortunately, the two values of 13 and 34.5 obviously are inconsistent. However, both are correct by their own equations.
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!
If the angle is 42 degrees. The side opposite the angle is 3x+3 and the side adjacent to the angle is 4x. What is X ?
tan Ø =
tan Ø =
3.6x = 3x + 3 ------ Cross-multiplying
3.6x - 3x = 3
.6x = 3
x = , or
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