in the tringle ABC, measure angle A=x, measure angle B=3x and measure angle C =y. if 3y-5x=30, then show that the triangle is right angled. find the measure of all three angles of a triangle.
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3y-5x=30
y=(30+5x)/3 eq 1
x+3x+y=180
4x+y=180
4x+(30+5x)/3=180
12x+30+5x=180×3
17x=540-30
x=510/17
x=30
y=(30+5x)/3 eq 1
x+3x+y=180
4x+y=180
4x+(30+5x)/3=180
12x+30+5x=180×3
17x=540-30
x=510/17
x=30
and y=(30+5×30)/3=60
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