Asked by Jermaine
The three angles of a triangle are (x-25) degrees, (2x+40)degrees and 30 degrees. find the magnitude of each angle.
Answers
Answered by
dongo
This an easy deal when recalling the fundamental identity for traingles, namely that the sum of the three angles must be identically 180 degrees. (Why precisely 180°?)
This means:
(x-25) + (2x+40) + 30 = 180
This can be simplified to:
3x + 45 = 180
Subtracting 45 on both sides yields:
3x = 135
Multiplying this 1/3-times, one immediately finds:
x=45
It is not neceassry but quite useful to substitute the obtained value directly back into the aforementioned equation in order to verify this as the solution.
Question to think further: Why is there just one solution?
This means:
(x-25) + (2x+40) + 30 = 180
This can be simplified to:
3x + 45 = 180
Subtracting 45 on both sides yields:
3x = 135
Multiplying this 1/3-times, one immediately finds:
x=45
It is not neceassry but quite useful to substitute the obtained value directly back into the aforementioned equation in order to verify this as the solution.
Question to think further: Why is there just one solution?
Answered by
H
124
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