Question

Find the value of unknowns $x$ and $y$ in the following diagrams:

Answer 1

From the figure,

$\Rightarrow y^0={80}^0$ ( alternative angles )

Now,

$\Rightarrow y^0+{50}^0+x={180}^0$ ( sum of all the angles in triangles $={180}^0$ )

$\Rightarrow {80}^0+{50}^0+x^0={180}^0$ $(y^0={80}^0)$

$\Rightarrow x^0={50}^0$

Hence, the answer is ${50}^0,{80}^0.$