Which angles appear to be less than 95°?

Select all that apply.

(1 point)
Responses

Obtuse angle that is slightly larger than a right angle.
Image with alt text: Obtuse angle that is slightly larger than a right angle.

Acute angle that is slightly less than a right angle.
Image with alt text: Acute angle that is slightly less than a right angle.

Obtuse angle that is slightly less than a straight angle.
Image with alt text: Obtuse angle that is slightly less than a straight angle.

Obtuse angle that is slightly more than a right angle.
Image with alt text: Obtuse angle that is slightly more than a right angle.

Acute angle that is slightly less than a right angle.
Image with alt text: Acute angle that is slightly less than a right angle.
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1 answer

To determine which angles appear to be less than 95°, let's analyze the descriptions of each angle:

  1. Obtuse angle that is slightly larger than a right angle: Since a right angle is 90°, this angle must be greater than 90°, making it obtuse and larger than 95°. (Not less than 95°)

  2. Acute angle that is slightly less than a right angle: This angle is less than 90°, so it definitely is less than 95°. (Less than 95°)

  3. Obtuse angle that is slightly less than a straight angle: An obtuse angle is always greater than 90° and since it is described as being less than a straight angle (180°) but still obtuse, it will still be greater than 90°. This angle could be less than 95°, but we cannot definitively say it is without more information. (Uncertain)

  4. Obtuse angle that is slightly more than a right angle: This angle is greater than 90° and, as it is obtuse, it must be larger than 95°. (Not less than 95°)

  5. Acute angle that is slightly less than a right angle: This angle is less than 90°, so it is less than 95°. (Less than 95°)

Based on this analysis, the angles that can be confirmed as less than 95° are:

  • Acute angle that is slightly less than a right angle (this applies to both instances where the acute angle is mentioned).

Thus, the responses that can be selected as less than 95° are:

  • Acute angle that is slightly less than a right angle (both instances).