In a . If 3y - 5x = 30, prove that the triangle is right angled.

Sum of angles of a triangle = 180°


Given,


x + 3x + y = 180


y + 4x = 180 ------- (1)


Also, 3y – 5x = 30 ------- (2)


Multiplying eq1 by 5 and eq2 by 4 and adding them


5y + 12y = 900 + 120


y = 60


Thus, 60 + 4x = 180


x = 30


A = 30° , B = 90° and C = 60°


Triangle is right angled at B.


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