Question

Find the value of $x,y$ and $z$ in the figure.

• A. $x={60}^o,y={120}^o,z={60}^o$
• B. $x={60}^o,y={60}^o,z={120}^o$
  
• C. $x={120}^o,y={60}^o,z={60}^o$
  
• D. $x={70}^o,y={100}^o,z={70}^o$
  

Answer 1

The correct option is B $x={60}^o,y={60}^o,z={120}^o$

$z={120}^{\circ }$ (vertically opposite angles)

$120+x={180}^{\circ }$(sum of angles on a straight line=${180}^{\circ }$)

$\Rightarrow x={60}^{\circ }$

$\therefore y=x={60}^{\circ }$ (vertically opposite)