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Mama L [17]
3 years ago
5

Find x and y if p || q and m3=(4x+6y),m5=86,and m6=(5x+6y)

Mathematics
2 answers:
Airida [17]3 years ago
8 0

Answer:

i need ponits :)

Step-by-step explanation:

pav-90 [236]3 years ago
7 0

Answer:

  • (8, 9)

Step-by-step explanation:

<u>3 and 5 are vertical angles and are equal as per definition of vertical angles</u>

  • 4x + 6y = 86

<u>5 and 6 are supplementary angles and sum up to 180 as per definition of supplementary angles</u>

  • 5x + 6y + 86 = 180 ⇒ 5x + 6y = 94

<u>Comparing the two equations</u>

  • 6y = 86 - 4x and 6y = 94 - 5x
  • 86 - 4x = 94 - 5x
  • 5x - 4x = 94 - 86
  • x = 8

<u>Finding y</u>

  • 6y = 86 - 8*4
  • 6y = 86 - 32
  • 6y = 54
  • y = 9

<u>Answer</u>

  • (8, 9)

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