Answer:
112.0°
Step-by-step explanation:
In a triangle, the largest angle is opposite the longest side.
The longest side is b, so the largest angle is B.
Since all we have is side lengths, we need to use the law of cosines.
b² = a² + c² - 2ac × cos B
26² = 12² + 19² - 2(12)(19) × cos B
676 = 144 + 361 - 456cos B
-456cosB = 171
cos B = -0.375
B = cos^-1 -0.375
B = 112.0°
