In the given figure `triangle`ABC side AC has been produced to D. `angleBCD = 125^(@)` and `angleA:angleB= 2 : 3`, find the measure of `angleA` and `angleB`

In the adjacent figure, ABC is a triangle in which angleB = 50^(@) and angleC = 70^(@) . Sides AB and AC are produced. If ‘z’ is the measure of the angle between the bisectors of the exterior angles so formed, then find 'z'.

In a triangle ABC, cos 3A+cos 3B+cos3C=1 and angleA+angleBltangleC , then find possible measure of angleC .

Let the area of triangle ABC be (sqrt3 -1)//2, b = 2 and c = (sqrt3 -1), and angleA be acute. The measure of the angle C is

Let the area of triangle ABC be (sqrt3 -1)//2, b = 2 and c = (sqrt3 -1), and angleA be acute. The measure of the angle C is

Find the area of triangle ABC given that vertices are A(2,1,-2) B(1,4,2) and C(3,-1,-1).