Question

Find the values of the unknowns $x$ and $y$ in the following diagram:

Answer 1

$x={50}^{\circ }+{60}^{\circ }$ (Exterior angle property)

$\Rightarrow x={110}^{\circ }$

$\Rightarrow y+50+60={180}^{\circ }$ (Angle sum property)

$\Rightarrow y+110={180}^{\circ }$

$\Rightarrow y=180-110$

$\therefore y={70}^{\circ }$