Question

in triangle abc angle equal to X Angle B equal to 3 X and angle C Y if 3 Y - 5 X equal to 30 prove that the triangle is right angled

Answer 1

solution:

Here,
3y-5x= 30°
y= 30+5x/3...(1)
Now,.
=> X+ 3X+ Y = 180°

=> 4X+ 30+5x/3= 180° [Using... (1)]

=> (12x+ 30+5x)/3= 180°

=> 17x= 510°

=> x= 30°

Now, 3x= 3*30°= 90°

Hence, angle B is 90°.
so, traingle ABC is right angled triangle.

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#Amrit⭐