Step 1:
\The sides of the triangle are
and the angle
.
Law of cosines:
.
Substitute
and
in above cosine rule.

side
.
Law of sines:
.
Substitute
and
in above formula.

In a triangle, total of three angles is
.

Substitute
and
in above expression.

side
and angles
and
.
Step 2:
\The sides of the triangle
and angle
.
Law of cosines:
.
substitute
and
in above formula.

Side 
Step 3:
\The two angles of the triangle is
and side 
In a triangle, total of three angles is
.

Substitute
in above expression.

Thus, the third angle
.
Law of sines:
.
Substitute
and
in above formula.

Law of sines:
.
Substitute
and
in above formula.

and 
\
Step 4:
\The sides of the triangle are
\
and
.
Law of cosines:
.
Substitute
and
in above formula.

Law of sines:
.
Substitute
and
in above formula.

In a triangle, total of three angles is
.

Substitute
and
in above expression.

Thus , the three angles of the triangle are
,
and
.