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I Need help 75pts thanks in advance!

I Need Help 75pts Thanks In Advance class=

Sagot :

fieryanswererft

Answer:

  • m∠1 = 50°
  • m∠2 = 130°
  • m∠3 = 50°
  • m∠4 = 130°

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°

semsee45

Answer:

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

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