Question 142

The angles of a triangle are $$2x-3, x+12, x-1$$. The largest angle of the triangle is:

Solution

We know sum of all angles of a triangle is 180°.

So,$$(2x-3)+(x+12)+(x-1)=180.$$

or,$$4x+8=180$$

or,$$x=172\div 4=43.$$

So, largest angle$$=2×43-3=83.$$

D is correct choice.

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