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 $z = 11$.