Apair of parallel lines is cut by a transversal, as shown below:
a pair of parallel lines is cut by a transversal. the exterior angle made on the right by the intersection of the upper parallel line and the transversal is labeled as p. the exterior angle made on the left by the intersection of the lower parallel line and the transversal is labeled as q.
which of the following best represents the relationship between angles p and q?
p = 180° − q
q = 180° − p
p = 2q
p = q

p = q

Step-by-step explanation:

We are given that A pair of parallel lines is cut by a transversal.

The exterior angle made on the right by the intersection of the upper parallel line and the transversal is labeled as p.

The exterior angle made on the left by the intersection of the lower parallel line and the transversal is labeled as q.

Refer the attached diagram .

∠ABC =p

∠DEF = q

Now , ∠DEF =∠BEG (vertically opposite angles)

So, ∠DEF =∠BEG =q

Now ∠ABC =∠BEG (corresponding angles)

So, p = q

Hence proved .

Option D is correct i.e.p=q

p = q represents the relationship between angles p and q

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step-by-step explanation: