Respuesta :

semsee45

Answer:

A.  m∠A = 45°

Step-by-step explanation:

Vertical angle theorem:  opposite angles are congruent

⇒ 3x = x + 30

⇒ 2x = 30

⇒ x = 15

As m∠A = 3x

⇒ m∠A = 3 × 15 = 45°

Opposite angles are equal

[tex]\\ \rm{:}\dashrightarrow 3x=x+30[/tex]

[tex]\\ \rm{:}\dashrightarrow 2x=30[/tex]

[tex]\\ \rm{:}\dashrightarrow x=15[/tex]

So

  • <A=3(15)=45