Question

Explain whether you agree with Aaron's belief that ∠XYW and ∠WYZ must each measure 45°. Use additional details to support your response.

Answer 1

I disagree with Aaron's belief that ∠XYW and ∠WYZ must each measure 45°. The sum of the angles in a triangle is always 180°, so they can have any values as long as their sum is 180°.

Step-by-step explanation:

I don't agree with Aaron's belief that ∠XYW and ∠WYZ must each measure 45°. In a triangle, the sum of the angles is always 180°. Therefore, ∠XYW and ∠WYZ can have any values as long as their sum is equal to 180°.

For example, ∠XYW could be 60° and ∠WYZ could be 120°, or ∠XYW could be 90° and ∠WYZ could be 90°, or any other combination as long as their sum is 180°.

So, there is no requirement for ∠XYW and ∠WYZ to each measure 45°.

Learn more about Triangle angles