Find the angle that is supplementary to ?.

Question

Find the angle that is supplementary to θ.
(a) θ = 46°59'37''

= ?° ?' ?''

(b) θ = 136.39°

= ?°

Answer 1

Two angles, say θ and φ, are supplementary if their sum is 180^o.  That is:

 

θ + φ = 180^o

 

So if you know one of the angles, say θ, you can find the other (φ) as follows:

 

φ = 180^o - θ

 

For problem (a), you need to remember that 1 degree = 60 minutes, and one minute = 60 seconds, so 180^o = 179^o 59' 60"

 

179^o  59' 60"

-46^o  59' 37"

--------------

133^o  0' 23"

 

Can you do (b)?