Question

Find the supplement of 45 degrees 38’

Answer 1

134° 22'

Step-by-step explanation

Two angles are supplementary if their measures add up to 180°. Thus, to find the supplement of the given angle we have to subtract this angle from 180°.

We have to write both numbers with minutes and seconds,

Then, we start subtracting from the seconds to the degrees. In this case, both numbers have 0 seconds, so we can go straight to the minutes. Since we cannot subtract 38 from 0, we have to "borrow" 1 degree from the degrees part of 180°. 1 degree is 60',

Now we can subtract the minutes,

`60^(\prime)-38^(\prime)=22^(\prime)`

And the degrees,

`179\text{\degree}-45\text{\degree}=134\text{\degree}`

Hence,

The supplement of 45°38', is 134° 22'