Question

What is the measure of ∠A in the image below?

Answer 1

See <A and x+30 are opposite angles .

We know that opposite angles are equal

so

• 3x=x+30
• 2x=30
• x=15

Now

• <A=3x=45°

Option A is correct

Answer 2

A

Explanation:

3x and x + 30 are vertically opposite angles and are congruent , then

3x = x + 30 ( subtract x from both sides )

2x = 30 ( divide both sides by 2 )

x = 15

Then

∠ A = 3x = 3(15) = 45°