Laureneluck2006
Answered

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The measurement of the angle K is 3x - 42, and it is obtuse. Find the restriction(s) on the values of x.

Sagot :

angrykai23

Answer:

x = 44° and 74°: x cannot be less than 44°, x cannot be greater than 74°.

Step-by-step explanation:

Obtuse angles are greater than 90° but less than 180°.

We can first solve for the lower bound of x.

  • [tex]3x-42=90[/tex]
  • [tex]3x=132\\[/tex]
  • [tex]x=44[/tex]°

Thus the lower bound restriction of x is 44°

We can now solve for the upper bound of x.

  • [tex]3x-42=180[/tex]
  • [tex]3x=222[/tex]
  • [tex]x=74[/tex]°

Thus the upper bound restriction of x is 74°

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