Answer:
1. No, Joe is not correct
2. [tex]\angle 5=72^{\circ}[/tex]
Step-by-step explanation:
Given: b and c are parallel lines
To find:
1. whether the given statement is correct or not
2. [tex]\angle 5[/tex]
Solution:
1.
Sum of two angles that form a linear pair is equal to [tex]180^{\circ}[/tex]
[tex]\angle 3+72^{\circ}=180^{\circ}[/tex] (linear pair)
[tex]\angle 3=180^{\circ}-72^{\circ}=108^{\circ}\neq 90^{\circ}[/tex]
So, Joe is not correct
2.
If two lines are parallel then alternate interior angles are equal.
As b and c are parallel lines,
[tex]\angle 5=72^{\circ}[/tex] (alternate interior angles)
