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2 lines k and t are parallel, and the measure of angle abc is 19°, answ…

Question

2 lines k and t are parallel, and the measure of angle abc is 19°, answer attempt 3 out of 9 a. m < ecf =

Explanation:

Step1: Use the property of parallel lines and alternate - interior angles

Since lines \(k\) and \(l\) are parallel, \(\angle BCD=\angle ABC\) (alternate - interior angles). Given \(\angle ABC = 19^{\circ}\), so \(\angle BCD=19^{\circ}\).

Step2: Use the property of vertical angles

\(\angle ECF\) and \(\angle BCD\) are vertical angles. By the vertical - angles theorem, if two angles are vertical angles, then they are congruent. So \(m\angle ECF=m\angle BCD\).

Answer:

\(19\)