In the figure \(\overline {AB}|| \overline {DE}\) and C is a point in

1.	In the figure \(\overline {AB}\|\| \overline {DE}\) and C is a point in between them. Observe the figure, then find x, y and ∠BCD.
Answer» In the figure \(\overline {AB}\|\| \overline {DE}\) and C is a point in between them. Draw a parallel line CF to \(\overline {AB}\) through C. \(\overline {AB}\|\| \overline {CF}\) and \(\overline {BC}\) is a transversal, x + 103° = 180° x = 180°- 103° x = 77° From the figure, \(\overline {DC}\|\| \overline {CF}\) and \(\overline {CD}\) is a transversal, y + 103° = 180° y = 180°- 103° y = 77° and ∠BCD = x + y = 77° + 77° = 154°

In the figure \(\overline {AB}|| \overline {DE}\) and C is a point in between them. Observe the figure, then find x, y and ∠BCD.

Answer»

In the figure \(\overline {AB}|| \overline {DE}\) and C is a point in between them.

Draw a parallel line CF to \(\overline {AB}\) through C.

\(\overline {AB}|| \overline {CF}\) and \(\overline {BC}\) is a transversal,

x + 103° = 180°

x = 180°- 103°

x = 77°

From the figure,

\(\overline {DC}|| \overline {CF}\) and \(\overline {CD}\) is a transversal,

y + 103° = 180°

y = 180°- 103°

y = 77° and ∠BCD = x + y = 77° + 77° = 154°