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WITCHER [35]
3 years ago
7

Use angle relationships to complete the top equation. Then, solve for x and find the measure of both angles.

Mathematics
1 answer:
ASHA 777 [7]3 years ago
3 0

9514 1404 393

Answer:

  • 7x +40
  • x = 20
  • 4x +30 = 110°
  • 3x +10 = 70°

Step-by-step explanation:

The marked angles are supplementary, so you have ...

  (4x +30) +(3x +10) = 180

  7x +40 = 180

__

Subtracting 40 gives ...

  7x = 140

  x = 140/7 . . . . . divide by the coefficient of x

  x = 20

__

Then the angle measures are ...

  4x +30 = 4·20 +30 = 110°

  3x +10 = 3·20 +10 = 70°

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Step-by-step explanation:

<u>∠WYX is the inscribed angle and equal to half of the intercepted arc WX</u>

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