Question

In the given figure $\mathrm{ABCD}$ is a parallelogram. Find the value of $x,y$ and $z$.

• A. $75,75,105$
• B. $105,75,75$
• C. $75,105,75$
• D. None of these

Answer 1

Answer: (B)

$x+105=180^{\circ }$
$x=180-105=75^{\circ }$
$x=75^{\circ }$
$y+105^{\circ }=180^{\circ }\text{ (adjacent angles) }$
$y=180-105=75^{\circ }$
$y=75^{\circ }$
$y+z=180$
$\therefore z=180-75=105^{\circ }$