In triangle ABC, angle a= x° , angle b=3x° , angle c= y°. If 3y-3x=30,find the angles of the triangle.
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Step-by-step explanation:
Using angle sum property,
angle a +angle b+ angle c =180
x+3x+y=180
4x+y=180(equation 1)
Given 3y-3x=30
-3x+3y=30
3x-3y=-30
x-y=-10(equation 2)
Now adding equation 1 and 2
x-y+4x+y=180-10
5x=170
x=34
Now puttion x=38 in equation 2
34-y=-10
y=44
hence Angle A=34°
Angle B=3×34=102°
Angle C=44°
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