20 PTS AND I'LL MARK BRAINLIEST

∠1 and ​ ∠2 ​ are a linear pair, and ​ ∠2 ​ and ​ ∠3 ​ are vertical angles. m∠2=(5+4y)∘ and ​ m∠3=(6y−25)∘ . What is m∠1 ?

Respuesta :

Since m∠2 and m∠3 are vertical angles, they are congruent. Knowing this, we can form this equation:
5+4y=6y-25  (We'll add the degrees symbol later)
5 = 2y - 25
30 = 2y 
y = 15
°
We can plug the y-value into the value for m∠2.
5 + 4(15) = 65
°

Now, we can easily find m∠1, since they are a linear pair.
m
∠1 + m∠2 = 180
m
∠1 + 65 = 180
m
∠1 = 115°.
m∠1 equals 115°.

Hope this helps!