Length/angle of triangle

Question

B=8, angle c= 60 degrees, angle a=55 degrees

what is angle b? What is side length of a and c?

Answer 1

Step 1:

measures angles are and side .

Sine rule is .

Substitute and in the sine rule.

Find the length of angle .

Substitute in .

Length of angle is .

Step 2:

Find length of .

Substitute in the sine rule.

Consider,

Side length of  is .

Find length of .

Consider,

Side length of is .

Solution :

Length of angle is .

Sides is lengths are .