Vertical Angles Quick Check

Question

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Question
Four angles share a vertex. m∠1=98°
, m∠2=82°
, m∠3=98°
, and m∠4=82°
. Which angle is a vertical pair with ∠1
?(1 point)
Responses

∠2
angle 2

∠3
angle 3

∠4
angle 4

none
none
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page 11 of 11

Answer 1

Vertical angles are angles that are opposite each other when two lines intersect. They are congruent, meaning they have the same measure.

In this case, we have the following measures:

• m∠1 = 98°
• m∠2 = 82°
• m∠3 = 98° (which is congruent to ∠1)
• m∠4 = 82°

Since angle ∠3 has the same measure as angle ∠1 (both are 98°), angle ∠3 is the vertical angle to ∠1.

So the correct response is: ∠3 (angle 3)