Two angles are vertically opposite to each other and are supplementary. The angles are

a.150degree, 30 degree b. 120 degree, 60 degreee c. 90 degree, 90 degree d. 45 degree, 135 degree

Answer : 

We know vertically opposite angles are equal to each other  , And as they are supplementary ,

So,

Let  angles be $\angle$A  and $\angle$B and as they are equal 

we have,

$\angle$A  =  $\angle$B  =  a

Also as they are supplementary, So 

Our angles will be 

a + a = 180$°$

$\Rightarrow$2a = 180$°$

$\Rightarrow$ a = 90$°$

So, our angles are 90$°$ each.
 

Option C                                                                       ( Ans )