Answer:
m∠4=70°
Step-by-step explanation:
Given: It is given that a and b are parallel lines cut by transversal f and the measure of ∠1 is 110°.
To find: The measure of the ∠4.
Solution: It is given that a and b are parallel lines cut by transversal f and the measure of ∠1 is 110°.
From the figure drawn, [tex]{\angle}1+{\angle}2=180^{\circ}[/tex] (Linear pair)
[tex]110^{\circ}+{\angle}2=180^{\circ}[/tex]
[tex]{\angle}2=70^{\circ}[/tex]
Also, [tex]{\angle}2={\angle}4=70^{\circ}[/tex] (Corresponding angles)
Thus, the measure of the angle 4 is 70°.
