Answer:
Step-by-step explanation:
The correct question is shown in the image attached below.
Recall that: the line m is parallel to line n. In addition to that, [tex]m \angle 1 = 50^0[/tex] and [tex]m \angle 2 = 48^0[/tex], and [tex]\angle ABC[/tex] is bisected by line s.
At this moment, by the angle addition postulate, angle DEF i.e.
∠DEF [tex]= m \angle 1 + m \angle 2[/tex]
∠DEF = 50° + 48°
∠DEF = 98°
Similarly, using the rule of the alternate exterior angle ∠DEF = ∠ABC (∵ alternate exterior angles exhibit congruency).
Furthermore, By the definition of a bisector, angles 4 and 5 are congruent due to the fact that the line of a bisector splits the angle into two equal parts.
m∠4 = m∠5
∴
98/2 = 49°
Finally;
from the diagram, angle 3 and 4 are vertical angles
Thus, m∠3 = 49 by substitution property of equality ( because vertical angles are congruent angles).
