SOLUTION: if the degree measure of the smallest angle of a triangle is one-half of the degree measure of the second largest angle and one-third of the degree measure of the largest angle, th

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Question 21747: if the degree measure of the smallest angle of a triangle is one-half of the degree measure of the second largest angle and one-third of the degree measure of the largest angle, then what is the degree measure of each angle?
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Answer by venugopalramana(3286) About Me  (Show Source):
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if the degree measure of the smallest angle of a triangle is one-half of the degree measure of the second largest angle and one-third of the degree measure of the largest angle, then what is the degree measure of each angle?
LET THE SMALLEST ANGLE =X DEGREES
THIS ONE HALF OF SECOND LARGEST ANGLE
HENCE SECOND LARGEST ANGLE =2X
SMALLEST ANGLE IS ONE THIRD OF THE LARGEST ANGLE.
HENCE LARGEST ANGLE =3X
TOTAL OF 3 ANGLES =X+2X+3X=6X..BUT TOTAL OF ALL 3 ANGLES IN A TRIANGLE =180 DEGREES
HENCE 6X = 180
X=180/6 = 30 DEGREES .HENCE THE 3 ANGLES ARE 30,60 AND 90 DEGREES.