two angles of a triangle are 5pie by 9 in radian and 5pie by 18 in rad . find the degree and radian and measure the third angle.
Dear student,
In any triangle ,sum of angles in a triangle is pie
Now the two angles in radians are given as : 5pie/9 and 5pie/18.
Therefore the third angle (in radians) will be :- (pie) - 5pie/9 - 5pie/18 = pie/6
Therefore the third angle is = pie/6 rad
And,
third angle in degrees will be = (pie/6) × (180/pie) = 30 degrees