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Leni [432]
3 years ago
5

I need help brosssssssssss

Mathematics
1 answer:
gavmur [86]3 years ago
5 0
Answer
B. Is the answer.
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In a certain triangle, the angle of the greatest measure measures 75 degrees more than the angle of the least measure. If one-th
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Let a<b<c

c=75+a  and (a+c)/3=b

using c from the first in the second you have:

b=(a+75+a)/3

b=(2a+75)/3

Since this is a triangle, a+b+c=180, using b and c from above we get:

a+(2a+75)/3+75+a=180  making the left side have a common denominator 3

(3a+2a+75+225+3a)/3=180  combine like terms on left side

(8a+300)/3=180 multiply both sides by 3

8a+300=540 subtract 300 from both sides

8a=240 divide both sides by 8

a=30°, since b=(2a+75)/3

b=45°, since c=75+a

c=105°

So the angles are 30°, 45°, and 105°
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