Question

I Need help 75pts thanks in advance!

Answer 1

m∠1 = 50°

m∠3 = 50°

m∠4 = 130°

Step-by-step explanation:

Vertical Angle Theorem: When two straight lines intersect, the opposite vertical angles formed are always equal (congruent) to each other.

⇒ m∠1 = m∠3 and m∠2 = m∠4 = 130°

Linear pair: Two adjacent angles which sum to 180°.

⇒ m∠1 + m∠2 = 180°

⇒ m∠3 + m∠4 = 180°

⇒ m∠1 + m∠130° = 180°

⇒ m∠1 = 50°

As m∠1 = m∠3 then m∠3 = 50° also

Answer 2

• m∠1 = 50°

• m∠2 = 130°

• m∠3 = 50°

• m∠4 = 130°

Step-by-step explanation:

⇒ m∠2 = 130°

Then,

⇒ m∠4 = 130° ( vertically opposite angles )

• Here m∠1 = m∠3

m∠1 + m∠2 + m∠3 + m∠4 = 360°

2(m∠1) = 360° - 130° * 2

⇒ m∠1 = 50°

⇒ m∠3 = 50°