Question

In figure, three lines p, q and r are concurrent at O. If $a={50}^o$ and $b={90}^o$, find $c,d,e$ and $f$.

• A. $c={40}^o$
• B. $d={50}^o$
• C. $e={90}^o$
• D. $f={40}^o$

Answer 1

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

The correct options are
A $f={40}^o$
B $c={40}^o$
C $d={50}^o$
D $e={90}^o$

Given $a={50}^o,\therefore f={40}^o(a+f={90}^o)$

$b={90}^o$

$f=c={40}^o$ [vertically opposite angles]

$\therefore d=90-40={50}^o$

$e={90}^o(a+b+c+d+e+f={360}^o)$