Question

1. Explain why the measure of angle ECF is 19 degrees. If you get stuck, consider
translating line l by moving B to C.
2. What is the measure of angle BCD? Explain.

Answer 1

Answer:

1). Corresponding angles

2). Vertical angles

Step-by-step explanation:

1). Lines 'k' and 'l' are the parallel lines and line 'm' is a transverse.

  Since m∠ABC = 19°

  Therefore, m∠ECF = 19° [Corresponding angles]

  (By translating line 'l' from the points B to C, angle ABC overlaps angle ECF)

2). Since, ∠ECF and ∠BCD are the vertical angles they will be equal in measure.

  Therefore, m∠ECF = m∠BCD = 19°