Mathematics

Grade9

Easy

Question

# Use the Hinge theorem and its converse and solve the following

What is the possible measure of ∠ACB?

- 56°
- 76°
- 86°
- 106°

Hint:

### 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

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