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Alja [10]
3 years ago
14

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

Mathematics
1 answer:
Helen [10]3 years ago
4 0

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)

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