Question

The three angles of a triangle have measures of $x^o$, $2x^o$, and $y^o$, where $x>55$. If $x$ and $y$ are integers, what is one possible value of $y$?

• A. $3$
• B. $5$
• C. $6$
• D. None of these

Answer 1

The correct option is A $3$

$x^0,{2x}^0,y^0$ are angles in a triangle.

Sum of angles in a traingle is ${180}^0$

So $x^0+{2x}^0+y^0={180}^0$

$3x+y=180$

But $x^0>55$

$\Rightarrow 3x^0>3\times 55=175$

$\Rightarrow 3x+y>175+y$

And sum should be ${180}^0$.So

$\Rightarrow 180>175+y$

$\Rightarrow y<5$

Possible answer less than 5 is $y=3.$