antisepsis
antisepsis antisepsis
  • 15-06-2017
  • Mathematics
contestada

the measure of arc QS is (4x-18)° what is the value of x?

the measure of arc QS is 4x18 what is the value of x class=

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serranootf105 serranootf105
  • 22-06-2017
correct answer is 49.5
Answer Link
eudora eudora
  • 09-03-2019

Answer:

Option C. 49.5°

Step-by-step explanation:

In the given figure arc QS is the diameter of the circle.

Angle formed at semicircle is 90°.

Therefore angle formed at center T will be 180°(∠QPS = 180° which is 2×∠QRS)

Now it is given arc QS = (4x - 18)° and equal to 180°

4x - 18 = 180

4x = 180 + 18 = 198

4x = 198

x = 198/4 = 49.5°

So the answer is 49.5°

Answer Link

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