∠1 and ​ ∠2 ​ are vertical angles. ∠2 ​ has a measure of 63°.

What is the measure of ​ ∠1 ​?

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Respuesta :

Vertical angles share a vertex, or basically a point, and are the opposite angles formed by two intersecting lines. They have the same angle measure (they're congruent).

So, if m∠1 = 63°, then m∠2 = 63°.
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Vertical angles are formed when two lines intersect. The measure of the ∠1 when ∠1 and ​ ∠2 ​ are vertical angles is 63°.

What are vertical angles?

Vertical angles are a pair of angles formed when two lines intersect each other, these angles are always opposite to each other and measure the same.

We know about the vertical angles, therefore, if the pair of angles ∠1 and ​ ∠2 ​ are vertical angles, then the measure of the two angles is equal.

Now, as it is given that the measure of the ∠2 ​is 63° and ∠1 and ​ ∠2, therefore,

∠1 =​ ∠2 = 63°

Hence, the measure of the ∠1 when ∠1 and ​ ∠2 ​ are vertical angles is 63°.

Learn more about Vertical angles:

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