Question

In figure, $x:y:z=5:4:6$. If XOY is a straight line then the values of x, y and z are

• A. $x={60}^o$
• B. $y={48}^o$
• C. $z={72}^o$
• D. $z={80}^o$

Answer 1

Answer: (A), (B), (C)

The correct options are
A $x={60}^o$
B $y={48}^o$
C $z={72}^o$

Given $x:y:z=5:4:6$ and XOY is a straight line.

Let $x=5t;y=4t;z=6t$
$5t+4t+6t={180}^0$
$15t={180}^0$
$t={12}^0$

So,

$x=5\times {12}^0={60}^0;y=4\times {12}^0={48}^0;z=6\times {12}^0={72}^0$.