Question

In your notebook, draw a right angle and then draw a bisector of the right angle. Label all parts. What are some properties of the angles formed by the bisector?

Answer 1

Let's consider this right triangle described in the picture.

∠ABD = ∠CBD, since BD is a bisector.

Angles ∠ADB and ∠BDC are neighbor angles and their sum is equal to 180°.

∠BDC is an exterior angle and ∠BDC=∠ABD+∠ADB.

Similarly, ∠ADB is an exterior angle and ∠ADB=∠CBD+∠BCD

Explanation:

Answer 2

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