Question

The angles of a triangle are $x,y$ and $40$. The difference between the two angles $x$ and $y$ is $30$. Find $x$ and $y$.

• A. $55,85.$
• B. $22,67.$
• C. $87,29$
• D. $66,76$

Answer 1

The correct option is A $55,85.$

Given, $x,y$ and $40$ are the angles of a triangle.

Therefore, $x+y+40=180$

$x+y=140$

The difference between the two angles $x$ and $y$ is $30$.

Therefore, $x-y=30$ ....(2)

Add equations (1) and (2), we get

$2x=170$

$\Rightarrow x=85$

Substitute this value n equation (2), we get

$85-y=30$

$\Rightarrow y=85-30$

$\Rightarrow y=55$

Therefore, angles of a triangle are $x=85$, $y=55$ and $40$.