Mathematics
Grade9
Easy

Question

Use the Hinge theorem and its converse and solve the following

What is the possible measure of ∠ACB?

  1. 56°
  2. 76°
  3. 86°
  4. 106°

hintHint:

Use Hinges Theorem.

The correct answer is: 56°


     Given That:

    >>> Using Hinge's Theorem:
    if BD > AB , then, 5x+6 <76
    It gives:   x<14.
    >>> Therefore, the angle should be less than 76.
    >>> In options there is only one angle that is less than 76.
    >> Hence, the angle 56 is the required angle.

    As x less than 14 comma straight angle A C B equals 56 to the power of ring operator

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