The sine of the sum of two interior angles of a triangle is 1/3. Calculate the sine of the third corner of a triangle.

We know that the sum of all the interior angles of any triangle is 180 °.
180 ° is the same as Pi.
To find the third angle, you need to subtract the sum of the other two angles from the sum of all angles:
Third angle = 180 ° – (first angle + second angle).
Using the reduction formula for the sine sin (Pi – a) = sin a, we write down all the known data in the problem:
sin (180 – a) = sin a.
and for us it is the sum of the degree measures of two angles.
That is, the sine of the sum of the two angles and the sine of the third angle are equal.
ANSWER: The sine of the third angle is 1/3.