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Paraphin [41]
3 years ago
10

Can you please help me

Mathematics
1 answer:
juin [17]3 years ago
7 0

9514 1404 393

Answer:

  • x = 30°
  • y = 20°

Step-by-step explanation:

The relevant relations are ...

  • the sum of the arcs of a circle is 360°
  • an inscribed angle subtends an arc twice its measure

These give rise to two equations. (x and y are in degrees)

  6y +6y +4x = 360

  6y = 2(2x)

Substituting the latter into the former gives ...

  6y +6y +6y = 360

  y = 20 . . . . . . . . . . . . divide by 18

Then using this in the second equation, we have ...

  6(20) = 4x

  30 = x . . . . . . . . divide by 4

The measures of x and y are 30° and 20°, respectively.

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can you mark me as brainliest

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