Answer
427.8k+ views
Hint: Before attempting this question, one should have prior knowledge about the concept of acute angles and also remember that angles less than ${90^ \circ }$are named as acute angles, use this information to approach the solution.
Complete step-by-step solution:
We know that angles which measure less than ${90^ \circ }$
As we have to write down the measures of some acute angles
So, now we know that every angle which satisfies the condition $\theta < {90^ \circ }$is an acute angle so the measures of some acute angles will be ${75^ \circ },{60^ \circ },{45^ \circ }$, etc.
The angle ${75^ \circ }$can be shown as
The angle ${60^ \circ }$ can be shown as
And the angle ${45^ \circ }$ can be shown as
Some examples of acute angles are acute triangles
Where each angle measure less than ${90^ \circ }$
Note: In the above solution we discussed the acute angle there are also some more types of angles such as obtuse angle and acute angle where obtuse angle are the angles which are measured greater than ${90^ \circ }$ whereas angle which is equal to ${90^ \circ }$ is named as a right angle. The right angle is shown as:
and obtuse angles are shown as:
Complete step-by-step solution:
We know that angles which measure less than ${90^ \circ }$
As we have to write down the measures of some acute angles
So, now we know that every angle which satisfies the condition $\theta < {90^ \circ }$is an acute angle so the measures of some acute angles will be ${75^ \circ },{60^ \circ },{45^ \circ }$, etc.
The angle ${75^ \circ }$can be shown as
![seo images](https://www.vedantu.com/question-sets/07e5f633-2729-4a3f-973c-5fead04b2bad4899849153856594173.png)
The angle ${60^ \circ }$ can be shown as
![seo images](https://www.vedantu.com/question-sets/fb567e51-4465-43ba-b92e-13db85cfe91c4582183088683429516.png)
And the angle ${45^ \circ }$ can be shown as
![seo images](https://www.vedantu.com/question-sets/fac76463-f1da-4c6d-8044-e13f638cceb6164852947137725036.png)
Some examples of acute angles are acute triangles
Where each angle measure less than ${90^ \circ }$
![seo images](https://www.vedantu.com/question-sets/3c5a9dc3-e73e-46e8-b9a3-096f7979fc0e3596310365695321870.png)
Note: In the above solution we discussed the acute angle there are also some more types of angles such as obtuse angle and acute angle where obtuse angle are the angles which are measured greater than ${90^ \circ }$ whereas angle which is equal to ${90^ \circ }$ is named as a right angle. The right angle is shown as:
![seo images](https://www.vedantu.com/question-sets/e170d11d-3383-4c18-9dee-f341aa08c2d17608610346264243982.png)
and obtuse angles are shown as:
![seo images](https://www.vedantu.com/question-sets/ad70989d-3900-4251-a3fa-e301c8cd92356248121376686578282.png)
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