Question

What is m∠RVS? What is X?

Answer 1

9514 1404 393

Answer:

• ∠RVS = 154°
• x = 12

Step-by-step explanation:

The diameter cuts the circle into parts that total 180° of arc.

  RS +ST = 180°

  RS = 180° -ST = 180° -26° = 154°

 ∠RVS = 154°

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This value can be used to find x. Equating the angle measures, we have ...

  RS = (15x -26)° = 154°

  15x = 180 . . . . . divide by °, add 26

  x = 180/15 . . . . divide by 15

  x = 12