primrosebyrne
primrosebyrne primrosebyrne
  • 16-12-2020
  • Mathematics
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idekogaf12 idekogaf12
  • 16-12-2020

Answer:

a) m∠3=113°

b) x=8 (but check below)

Step-by-step explanation:

a) we know m∠1=m∠5

6x-5=5x+7

x=12

we also know m∠1+m∠3=180°

plug x into the formula for m∠1

m∠1=67

m∠1+m∠3=180°

67+m∠3=180°

m∠3=113°

b) Again, we know since those lines are parallel that m∠4=m∠8

x²-4x=32

x²-4x-32=0

(x-8)(x+4)=0

x=8 or x=-4

i think (not 100% sure about this part lol) but x cannot be negative so it's 8

again i'm not sure but it is either 8 or 8,-4.

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