Question

In the figure, b and c are parallel lines. Which of the following statements are true?

Answer 1

Answer:

1. No, Joe is not correct

2. $\angle 5=72^{\circ}$

Step-by-step explanation:

Given: b and c are parallel lines

To find:

1. whether the given statement is correct or not

2. $\angle 5$

Solution:

1.

Sum of two angles that form a linear pair is equal to $180^{\circ}$

$\angle 3+72^{\circ}=180^{\circ}$ (linear pair)

$\angle 3=180^{\circ}-72^{\circ}=108^{\circ}\neq 90^{\circ}$

So, Joe is not correct

2.

If two lines are parallel then alternate interior angles are equal.

As b and c are parallel lines,

$\angle 5=72^{\circ}$ (alternate interior angles)