SOLUTION: if two angles in the ratio of 5:4 are represented by 5x and 4x express each of the following statements as an equation a)the angles are adjacent and together form an angle measuri

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Question 1079062: if two angles in the ratio of 5:4 are represented by 5x and 4x express each of the following statements as an equation
a)the angles are adjacent and together form an angle measuring 45degrees
b)the angles are complementary
c)the angles are supplemetary
d)the angles are two angles of a triangle whose third angle is their difference
Answer by dkppathak(439) About Me  (Show Source):
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if two angles in the ratio of 5:4 are represented by 5x and 4x express each of the following statements as an equation
a)the angles are adjacent and together form an angle measuring 45degrees
b)the angles are complementary
c)the angles are supplemetary
d)the angles are two angles of a triangle whose third angle is their difference
solution
let angle are 5x and 4x
a) sum is 45 degree
5x+4x=45
9x=45
x=5 angle are 5x=25 and 4x=20 degree
b)angle are complimentary
5x+4x=90
9x=90
x=10 degree angle are 50 and 40 degree
c)angle are supplementary means 5x+4X=180
9x =180
x=20 degree angles are 100 and 80 degree
d)third angle is difference =5x-4x=x
5x+4x+x=180 angle sum property of triangle
10x=180
x=18 degree agle are 90 ,72,18 degree
total sum will be 180