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Reptile [31]
1 year ago
8

3. A fence on a hill uses vertical posts L and M to hold parallel rails N and P. <4 and <14 are alternate exterior angles.

What is the transversal?
Mathematics
1 answer:
Alenkinab [10]1 year ago
8 0

Given information:

A fence on a hill uses vertical posts L and M to hold parallel rails N and P

The diagram is attached below

Here lines N  and P are parallel lines

Transversal line for parallel lines N  and P is line L

Calculation:

angle 1  and angle 16 are consecutive exterior angles

If parallel lines are cut by a transversal then consecutive exterior angles are supplementary.

<em><1 +< 16 = 180</em>

<em>115+ < 16 = 180</em>

<em>< 16 = 180 - 15</em>

<em>< 16 = 65</em>

<em />

<em>So measurement of angle 16 = 65 degrees.</em>

<em></em>

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