SOLUTION: ∠1 and ​ ∠2 ​ are a linear pair, and ​ ∠2 ​ and ​ ∠3 ​ are vertical angles. m∠1=(5y−8)∘ and ​ m

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Question 1114985: ∠1 and ​ ∠2 ​ are a linear pair, and ​ ∠2 ​ and ​ ∠3 ​ are vertical angles. m∠1=(5y−8)∘ and ​ m∠2=(12+6y)∘ .
What is m∠3 ?

16°
72°
108°
132°
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
∠1 and ​ ∠2 ​ are a linear pair, and ​ ∠2 ​ and ​ ∠3 ​ are vertical angles.
1 + 2 = 180 degrees ; 2=3
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m∠1=(5y−8)∘ and ​ m∠2=(12+6y)∘
5y-8+12+6y = 180 degrees
11y+4 = 180degrees
11y = 176
y = 16
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What is m∠3 ?
m<3 = m<2 = 12+6y = 12+6*16 = 12+96 = 108 degrees
----------------------------
16°
72°
108°
132°
-----------
Cheers,
Stan H.
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