Answer:
130.54°
Step-by-step explanation:
The formula for law of cosines is c^2= a^2+ b^2 -2ab cos(C),
a,b, and c are the sides of the triangle. C is the angle opposite to the side c.
To solve this problem add the given values into the formula, and solve for C.
10^2=5^2+ 6^2- 2(5)(6) cos(C)
100=25+36 - 2(5)(6) cos(C)
100=25+36 -60 cos(C)
100=61 -60 cos(C)
39= -60 cos(C)
cos^-1 (-39/60)= C
130.54°=C
