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27.09.2019 •
Mathematics
Self-check
practice exercise 3
Solved
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Ответ:
9. a line that intersectects at a 90 degree angle
Step-by-step explanation:
10. draw an act intersecting two points
Ответ:
So first off, lets start off with what we know:
The total sum of the angles in a triangle is always 180 degrees.
Angle A = 60 degrees. (They told us so in the picture!)
That means that:
Angle B + C = (x + 20) + 3x
And B + C = 180 - 60 = 120 degrees.
Therefore (x + 20) + 3x = 120 degrees.
So it follows that if we simplify we get:
4x + 20 = 120 degrees
4x + 20 - 20 = 120 - 20
4x = 100 degrees
x = 25 degrees.
Then we know that:
B = 3x = 3 * 25 = 75 degrees.
And:
C = x + 20 = 25 + 20 = 45 degrees.
We can check by doing:
95 + 75 + 60 = 180 degrees!
So we have solved the problem.