Find the measure of angle x if possible notice x is on obtus

Find the measure of angle x if possible notice x is on obtuse angle Round to the nearest tenth.

Solution

We have to use law of sine here

Sin 52/29=sin x/34

Sin x= 34* sin52/29

Taking sin^-1 on both sides

Sin ^-1(sin x)=sin^-1(34 sin 52/29)

              x     = sin ^-1(.923879532)

             x=    112.5 degree