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The angles of a triangle are 3x3x^\circ, (2x+60)(2x+60)^\circ and (5x40)(5x-40)^\circ. Then the value of x is:

Solution

Correct Option: 3

Sum of angles of a triangle is 180180^\circ. So 3x+(2x+60)+(5x40)=1803x + (2x+60) + (5x-40) = 180. Simplifying: 10x+20=18010x + 20 = 180, so 10x=16010x = 160, giving x=16x = 16, which matches option 3.

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