The angles of a triangle are in the ratio of 2 : 12 : 16. The sum of all the angles in a triangle must equal 180 degrees. What i
s the degree measure of each angle of the triangle? also write and equation that can be used to solve this problem
1 answer:
If the ratios are 2:12:16 the equation that should be used is 2x + 12x + 16x = 180.
First solve for x:
2x + 12x + 16x = 180
30x = 180
x = 6
Then plug x back in to find the degrees for each angle:
2x = 2(6) = 12
12x = 12(6) = 72
16x = 16(6) = 96
These are the degrees for each triangle: 12 degrees, 72 degrees, and 96 degrees which adds up to 180 degrees in total.
The equation, also at the top, is 2x + 12x + 16x = 180.
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It is 7, because you always have to round up if the next decimal is greater than or equal to 5 (depending on where you live).
It isn't proportional because it is not reduced to the lowest terms
Instead 20 over 100 = 1 over 5
Hope this helps!
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