Question

Name two pairs of alternate exterior angles. A) 4 and 7, 10 and 13

B) 4 and 15, 3 and 16
C) 4 and 16, 2 and 14
D) 7 and 12, 5 and 10

Answer 1

The answer is B) 4 and 15, 3 and 16 if I'm not mistaken

Answer 2

B) 4 and 15, 3 and 16

Explanation:

When a transversal crosses two lines then the angles on the outer side of those two lines but on opposite sides of the transversal are called Alternate Exterior Angles.

In option A) The pair of angle 4 and 7 , 10 and 13 are lie on the same line,

⇒ The pair of angles 4 and 7, 10 and 13 are not the pair of alternate exterior angles,

In option B) Both the pair of angles 4 and 15 and angles 3 and 16 on the outer side of two different lines and on opposite sides

⇒ The pair of angles 4 and 15 and angles 3 and 16 are the pairs of exterior angles,

In option C) Both pair of angles 4 and 16 and angles 2 and 14 are outer side of two different lines,

But are not on the opposite side,

⇒ The pair of a angles 4 and 16, 2 and 14 are not alternate exterior angles.

In Option D) Both pairs of angles 7 and 12, 5 and 10 are on opposite sides on different lines but are not on the outside.

⇒ The pair of angles 7 and 12, 5 and 10 are not the pair of alternate exterior angles.