Parallel

Problem:



Solution:

Question 14)

Triangle rule implies $ 4z + 24 + 56 = 180 $ , solving get $ z = 25 $
Opposite angle in parallelogram gives $ y = 4z = 100 $.
Angle on the same side in parallel lines gives $ x + 24 + y = 180 $, solving get $ x = 56 $

Question 15)

Angle on the same side in parallel lines gives $ x + 110 = 180 $, solving get $ x = 70 $
Opposite angle in parallelogram gives $ z + 32 = x $, solving get $ z = 38 $
Parallel angle gives $ 5y + 10 = x $, solving get $ y = 12 $.

Question 16)
Angle on the same side in parallel lines gives $ 3x + 90 = 180 $, solving get $ x = 30 $.
Parallel angle gives $  8y + 4 = 68 $, solving get $ y = 8 $
Angles on a line give $ 8y + 4 + 2z + 90 = 180 $, solving get $ z = 11 $.