1 and 2 are a linear pair, and 2 and 3 are vertical angles. m 2=(5+4 y) and m 3=(6 y-25). what is m 1

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22-05-2018
Mathematics

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1 and 2 are a linear pair, and 2 and 3 are vertical angles. m 2=(5+4 y) and m 3=(6 y-25). what is m 1

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tramserran tramserran · Answer 1 · 2018-05-22T09:50:01+02:00

tramserran tramserran

22-05-2018

vertical angles are equal to each other:
    ∠2    =    ∠3
   5 + 4y = 6y - 25
→ 30 = 2y
→    15 = y

∠2 = 5 + 4y = 5 + 4(15) = 5 + 60 = 65

linear pairs equal 180:
   ∠1 + ∠2 = 180
→ ∠1 + 65 = 180
→ ∠1 = 115

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