One fifth of the sum of two angles is 24 degrees and half of their difference is 14 degrees. Calculate the larger angle:
Q1. One fifth of the sum of two angles is 24 degrees and half of their difference is 14 degrees. Calculate the larger angle:
Answer: 74°
Explanation: (A+B)/5 = 24 gives A+B = 120; (A−B)/2 = 14 gives A−B = 28. Solving: A = 74°.