Answer:
The measure of ∠5 is 95°.
Step-by-step explanation:
Given,
m∠4=85°
In the given figure AB is parallel to CD and cut by a transversal line.
So according to the property of parallel lines, which states that;
"If two parallel lines is cut by a transversal line, then the sum of same side interior angle is 180°."
Here, ∠4 and ∠5 makes a pair same side interior angle.
[tex]\therefore\angle4+\angle5=180\°\\\\85\°+\angle5=180\°\\\\\angle5=180\°-85\°=95\°[/tex]
Thus the measure of ∠5 is 95°.
