Respuesta :

An acute angle

Obtuse angles are angles that are greater than 90 degrees. Acute angles are any angles that are less than 90 degrees. Any obtuse angle, if divided by 3, would then result in acute angles being formed by the remainders.

[tex]\frac{1}{3}[/tex] of the obtuse angle is always an acute angle.

What is an angle?

" Angle is formed when two rays meet at one endpoint known as vertex."

According to the question,

Given angle,

Obtuse angle

Measure of obtuse angle lies between 90° to 180°.

If we divide the largest obtuse angle into 3 parts

[tex]\frac{177}{3} = 59[/tex] degree which is an acute angle.

or

if we consider right angle 90° then 90° × 3 = 270° which is more than a measure of obtuse angle .

Hence, [tex]\frac{1}{3}[/tex] of the obtuse angle is always an acute angle.

Learn more about angle here

https://brainly.com/question/13954458

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