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Allisa [31]
3 years ago
9

"In ABC, mBAC = 5x + 8, mABC = 6x + 22, and mBCA = 3x  25.

Mathematics
2 answers:
Veseljchak [2.6K]3 years ago
8 0

Actually, the answer is 12.5

5x+8+6x+22+3x+25= 180

(5x+6x+3x)+(8+22-25)= 180

14x+5=180

14x+(5-5)=180-5

14x=175

14x/14=175/14

X=12.5

Double check:

(5*12.5)+8=70.5

(6*12.5)+22= 97

(3*12.5)-25=12.5

70.5+97+12.5=180 degrees.


So, x=12.5


strojnjashka [21]3 years ago
5 0
<span>In angle ABC, the measure of angle BAC = 5x + 8, </span>measure of angle ABC = 6x + 22, and measure of angle BCA = 3x  25. You know that the sum of the angles of a triangle is 180 degrees. And since the angles BAC, ABC and BCA are the corners of the triangle then just add them and equate to 180 degrees.

5x + 8 + 6x + 22 + 3x + 25 = 180
14x + 55 = 180
14x = 125
x = 8.93
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