StudyGPT Just Leveled Up – Say Hello to Knowee! 🚀
Knowee
Questions
Features
Study Tools

Which one of the following could represent the sum of the measures of two acute angles?Select one:a.174ob.180oc.242od.193o

Question

🧐 Not the exact question you are looking for?Go ask a question

Solution

To determine which of the given options could represent the sum of the measures of two acute angles, we must first understand the properties of acute angles.

Key Properties

  1. Definition of Acute Angles: An acute angle is an angle that measures less than 9090^\circ.
  2. Sum of Two Acute Angles: The sum of two acute angles must therefore be less than 90+90=18090^\circ + 90^\circ = 180^\circ.

Analyzing Each Option

  1. Option a: 174174^\circ

    • This is greater than 180180^\circ and thus not possible.
  2. Option b: 180180^\circ

    • This is the maximum possible sum of the measures of two angles but exactly equal to 180180^\circ, indicating one angle could be 9090^\circ, making it not acute.
  3. Option c: 242242^\circ

    • This exceeds 180180^\circ and is not possible based on the definition.
  4. Option d: 193193^\circ

    • This also exceeds 180180^\circ and is not possible.

Conclusion

The only option that could represent the sum of two acute angles must be less than 180180^\circ. Therefore, none of the provided options are valid.

Final Answer

None of the given options a.174,b.180,c.242,d.193a. 174^\circ, b. 180^\circ, c. 242^\circ, d. 193^\circ could represent the sum of the measures of two acute angles.

This problem has been solved

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.