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Debora [2.8K]
2 years ago
10

Need some math help thanks in advance!

Mathematics
1 answer:
vredina [299]2 years ago
7 0

Answer:

x = 10

y = 6

Step-by-step explanation:

<u>Vertical Angle Theorem</u>:  When two straight lines intersect, the opposite vertical angles are always equal to each other.

⇒ m∠1 = m∠3   and   m∠2 = m∠4

⇒ m∠1 = m∠3

⇒ 10x = 100

⇒ x = 10

<u>Linear pair:</u>  Two adjacent angles which sum to 180°.

⇒ m∠1 + m∠2 = 180°

⇒ m∠3 + m∠4 = 180°

⇒ 100 + 10y + 20 = 180

⇒ 120 + 10y = 180

⇒ 10y = 60

⇒ y = 6

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