# The angles

The angles in the triangle are in the ratio 12: 15: 9. Find the angles.

Result

A =  60 °
B =  75 °
C =  45 °

#### Solution:

$A+B+C=180^\circ \ \\ \ \\ d=\dfrac{ 180 }{ 12+15+9 }=5 \ ^\circ \ \\ \ \\ A=d \cdot \ 12=5 \cdot \ 12=60=60 ^\circ$
$B=15 \cdot \ d=15 \cdot \ 5=75=75 ^\circ$
$C=9 \cdot \ d=9 \cdot \ 5=45=45 ^\circ$

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