Maths-
General
Easy

Question

Find the possible values of x for which the angle (2𝑥 − 10) ° will be an acute angle.

Hint:

  • Angles whose measure is more than 0 but less than 90 are called ‘acute angles’.
  • Angles whose measure is more than 90 but less than 180 are called ‘obtuse angles’.
  • Angles whose measure 90 are called ‘right angles’.

The correct answer is: 50


    • Step-by-step explanation: 
      • Step 1:
    As we know, angles whose measure less than 90o are acute angles.
    ∴ for (2x - 10)o to acute angle

    0 < 2x - 10 < 90

    0 + 10 < 2x < 90 + 10

    10 < 2x < 100

    10 over 2< x < 100 over 2

    5 < x < 50

    • Final Answer: 
    Hence, for all numbers more than 5 and less than 50 (2x -10) will be acute angles.

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