The measure of one angle of a trangle is `65^(@)` and other angle is `(pi)/(12)`, then determine the sexagesimal value and circular value of third angle.

Explanation

`(pi)/(12) = (180^(@))/(12) =15^(@)`
` therefore "the third angle" = 180^(@) - (65^(@) + 15^(@)) = 180^(@) -80^(@) = 100^(@)`
` = 100^(@)xx(pi)/(180^(@)) = (5pi)/(9)`
Hence the third angle is `100^(@) or (5pi)/(9)`.