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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.

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Answer:

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

Explanation:

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

We can first solve for the lower bound of x.


  • 3x-42=90

  • 3x=132\\

  • x=44°

Thus the lower bound restriction of x is 44°

We can now solve for the upper bound of x.


  • 3x-42=180

  • 3x=222

  • x=74°

Thus the upper bound restriction of x is 74°

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