angle 2 = 114°
supplementary angles sum to 180° thus
5y + 16 + 10y + 14 = 180
15y + 30 = 180
subtract 30 from both sides
15y = 180 - 30 = 150
divide both sides by 15
y = = 10
angle 1 = (5 × 10) + 16 = 50 + 16 = 66° and
angle 2 = (10 × 10) + 14 = 100 + 14 = 114°