msb123 msb123
  • 20-11-2021
  • Mathematics
contestada

25.
Determine the value of x for which a || b if
m 3= 80 - X and m7 = 90 - 2x
90

10
30
70

25 Determine the value of x for which a b if m 3 80 X and m7 90 2x 90 10 30 70 class=

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sqdancefan
sqdancefan sqdancefan
  • 20-11-2021

Answer:

  x = 10

Step-by-step explanation:

Angles 3 and 7 are corresponding angles. They are congruent when lines 'a' and 'b' are parallel.

  ∠3 = ∠7

  80 -x = 90 -2x

  x = 10 . . . . . . . . . . . . add 2x-80 to both sides

_____

Check

When x=10, both angles 3 and 7 are 70°, so lines 'a' and 'b' are parallel.

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