What is m∠RVS? What is X?

Mathematics

1 answer:

Mamont248 [21]2 years ago

6 0

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°

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

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