In the given figure p, q, r and s are parallel lines and t is a transv

1.	In the given figure p, q, r and s are parallel lines and t is a transversal. Find x, y and z.
Answer» p ∥ q So, 80° + x = 180° (co-interior angles) 80° + x 80° = 180° 80° x = 100° q ∥ r x + y = 180° (co-interior angles) 100° + y = 180° (we know x – 100°) 100° + y – 100° = 180°- 100° y = 80° r∥s y = z (Alternate exterior angles) y = z = 80° (we know y = 80°) x = 100°, y = 80° and z = 80°

In the given figure p, q, r and s are parallel lines and t is a transversal. Find x, y and z.

Answer»

p ∥ q So, 80° + x = 180° (co-interior angles)

80° + x 80° = 180° 80°

x = 100°

q ∥ r

x + y = 180° (co-interior angles)

100° + y = 180° (we know x – 100°)

100° + y – 100° = 180°- 100°

y = 80°

r∥s

y = z (Alternate exterior angles)

y = z = 80° (we know y = 80°)

x = 100°, y = 80° and z = 80°