CAN SOMEONE HELP PLEASE!

Your friend claims it is possible for a straight angle to consist of three acute angles. Is your friend correct? Explain your reasoning.

Respuesta :

Answer:

My friend is wrong because a straight angle either consists with two right angles or one obtuse angle and one acute angle.

Step-by-step explanation:

Acute angles are angles less than [tex]90^o[/tex].

Your friend is correct, because all three angles can be acute

A straight line measures 180 degrees.

i.e.

[tex]\theta = 180[/tex]

Divide by 3

[tex]\frac{\theta}{3} = \frac{180}{3}[/tex]

[tex]\frac{\theta}{3} = 60[/tex]

If all three angles on the straight line have a measure of [tex]60^o[/tex]

Then your friend's claim is correct

Because [tex]60^o[/tex] is an acute angle

Some other possible scenarios are:

  • 45, 60, 75
  • 50,55,75
  • And many more

Hence, your friend is correct

See attachment for illustration of one of the possible scenarios

Read more about acute angles at:

https://brainly.com/question/10334248

Ver imagen MrRoyal