Respuesta :

Answer:

vertical angles are equal:

< (1) = < (2) (in fact they are congruent angles)

so, if measure of < 1 is 63° and measure of < 2 is 4x-9°, than

4x-9=63° ...solve for x

4x=63%2B9°

4x=72°

x=72%2F4°

x=18°

if x=18°, than < 2 is 4x-9=4%2A18-9=72-9=63°...it proves that < (1) = < (2) are congruent angles

Step-by-step explanation:

Hope it helps

∠1 and ∠2 are vertical angles. Vertical angles are congruent to each other. Therefore, ∠1 = 63 degrees.

What are vertical angles?

Vertical angles are angles that share the same vertex. Vertical angles are a pair of opposite angles formed by intersecting lines.

Vertical angles are congruent.

Since ∠1 and ∠2 are vertical angles. Therefore,

∠1 ≅ ∠2

Since ∠2 = 63 degrees,

Therefore,

∠1 = 63 degrees

learn more on vertical angles here: https://brainly.com/question/26450056

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