Question

in triangle ABC, angle a= x degree , angle b=3x , angle c= y degree . If 3y-5x=30, then triangle abc is which triangle


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Answer 1

Answer:

$x +3x + y = 180 \\ 4x + y = 180 \\ y = 180 - 4x \\ put \: y = 180 - 4x \: in \: given \: equation \\ 3(180 - 4x) - 5x = 30 \\ 540 - 12x - 5x = 30 \\ 540 - 30 = 17x \\ 17x = 510 \\ x = \frac{510}{17} \\ \\ x = 30 \\ \\3x = 30 \times 3 = 90 \\ now \: for \: calculation \: of \: y \: put \: x \: in \: given \: equation \: \\ y = 180 - 4 \times 30 \\ y = 60$