Question

In figure 2.6, line p line q and
line l and line a re transversals.
Measures of some angles are shown.
Hence find the measures of
Za, Zb, Ze, Zd.​

Answer 1

Hi ,

1 ) It is given that ,

l // m , transversal p

a = 78° ( corresponding angles )

2 ) p//q , transversal is m

a = d = 78° ( corresponding angles )

b = d = 78° ( vertically opposite angles )

3 ) l//m , transversal q

c + d = 180° ( sum of angles same side of the

transversal are supplementary )

c + 78° = 180

c = 180 - 78

c = 102°

Therefore ,

a = b = d = 78°

c = 102°

Answer 2

Answer:

1 ) It is given that ,

l // m , transversal p

a = 78° ( corresponding angles )

2 ) p//q , transversal is m

a = d = 78° ( corresponding angles )

b = d = 78° ( vertically opposite angles )

3 ) l//m , transversal q

c + d = 180° ( sum of angles same side of the

transversal are supplementary )

c + 78° = 180

c = 180 - 78

c = 102°

Therefore ,

a = b = d = 78°

c = 102°

Step-by-step explanation:

hope it maybe helpful for you