SOLUTION: the measure of an angle and its complement are in the ratio 2:8 find the measure of the two angles and The measures of the angles of a triangle are in the ratio 2:3:5 Find the m

Question 720348: the measure of an angle and its complement are in the ratio 2:8 find the measure of the two angles
and
The measures of the angles of a triangle are in the ratio 2:3:5 Find the measure of the largest Angle.
Answer by checkley79(3341) (Show Source): You can put this solution on YOUR website!
2N+8N=90
10N=90
N=90/10
N=10 THIS IS THE MULTIPLIER.
2*10=20 DEGREES FOR THE SMALLER ANGLE.
8810=80 DEGREES FOR THE LARGER ANGLE.
PROOF:
10+80=90
###########################
2N+3N+5N=180
10N=180
N=180/10
N=18 THIS IS THE MULTIPLIER.
2*18=36 FOR THE SMALLER ANGLE.
3*18=54 DEGREES FOR THE MIDDLE ANGLE.
5*18=90 DEGREES FOR THE LARGER ANGLE.
PROOF:
36+54+90=180
180=180
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