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Parallel lines r and s are cut by two transversals, parallel lines t and u.


Lines r and s are crossed by lines t and u to form 16 angles. Clockwise from top left, at the intersection of r and t, the angles are 1, 2, 3, 4; at the intersection of s and t, 5, 6, 7, 8; at the intersection of u and s, 9, 10, 11, 12; at the intersection of u and r, 13, 14, 15, 16.


Which angles are alternate exterior angles with angle 11?

Respuesta :

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Answer:

5 and 13

Step-by-step explanation: edge 2021

The alternate exterior angle can be identified by understanding the definition alternate exterior angles.

The alternate exterior angles with angle 11 are angle 13° and angle 5°.

Given:

The parallel line [tex]r\parallel s[/tex] and [tex]t\parallel u[/tex].

Refer the attached figure to understand the given statement.

The alternate exterior angles can be create by transversal intersecting two parallel lines. The alternate exterior angles lies opposite side of transversal and create the two pair line of alternate exterior angles.

As per the above definition alternate exterior angles, we notice in figure [tex]\angle 13[/tex] and [tex]\angle 5[/tex] are the exterior side of parallel lines  and opposite to exterior side of parallel lines.

Thus, the alternate exterior angles with angle 11 are angle 13° and angle 5°.

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