Question

In the figure, line l ║ line m and line p ║ line q. Find the measures of ∠a , ∠b, ∠c and ∠d.

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°

I hope this helps you.

Answer 2

1) angle a=78°. ....... corresponding angles
2) angle b= angle a =78° ... alternate angles
3) angle d=angle b =78°. .... opposite angles
4)angle c=180°-angle d. ........ interior angles
angle c=102°