Question

Lines k and I are parallel, and the measure of angle ABC is 19 degrees. D F B a.) What is the measure of angle ECF? If you get stuck, consider translating line l by moving B to C. degrees b.) What is the measure of angle BCD? degrees

Answer 1

It is given that two lines k and l are parallel.

$\angle ABC=19^o$$\angle ABC\text{ and }\angle ECF$

lie on the same side of the transversal m.

Therefore, being corresponding angles,

$\angle ABC=\angle ECF=19^o$$\angle ABC\text{ and }\angle BCD$

lie on the opposite side of the transversal m. Therefore, being alternative angles

$\angle ABC=\angle BCD=19^o$