Question

HELP 100 POINTS What is the measure of ∠A in the image below?

Answer 1

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°

Answer 2

Opposite angles are equal

$\\ \rm{:}\dashrightarrow 3x=x+30$

$\\ \rm{:}\dashrightarrow 2x=30$

$\\ \rm{:}\dashrightarrow x=15$

So

• <A=3(15)=45