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