Question

In the following figure, determine the value of $x$ and $y$.

Answer 1

Since $x$ and angle $125°$ makes a linear pair.

Therefore,

$x+125°=180°$

$\Rightarrow x=180°-125°=55°$

Also, angle $125°$ is the exterior angle of given triangle.

As we know that exterior angle of a triangle is equal to the sum of the opposite interior angles.

$\therefore 60°+y=125°$

$\Rightarrow y=25°-60°=65°$

Hence value of $x$ and $y$ are $55°$ and $65°$ respectively.