Answer

Verified

423k+ views

Hint: To solve this question, we have to recollect the definition of an acute angle.

Before proceeding with this question, we will first discuss the definitions of all types of angles.

In geometry, there are five different types of angles based on their degree measure. These five types of angles are,

1) Acute angle

2) Right angle

3) Obtuse angle

4) Straight angle

5) Reflex angle

Now, we will discuss each of these angles one by one.

1) Acute angle: When we have two lines intersecting each other at angles that are less than ${{90}^{\circ }}$, then we can call that type of angle as an acute angle.

2) Right angle: When we have two lines perpendicular to each other, then we can call that the angle between the two lines as a right angle.

3) Obtuse angle: When we have two lines intersecting each other at angles that are greater than ${{90}^{\circ }}$ and lesser than ${{180}^{\circ}}$, then we can call that type of angle as an obtuse angle.

4) Straight angle: When the degree measure of the angle between the two lines is equal to ${{180}^{\circ }}$, we call such an angle a straight angle.

5) Reflex angle: When we have two lines intersecting each other at angles that are greater than ${{180}^{\circ }}$, then we can call that type of angle as a reflex angle.

In the question, the given statement is “the measure of acute angle $<{{90}^{\circ }}$”. From point (1), we know that the angle which has a measure less than ${{90}^{\circ }}$ is called an acute angle.

Hence, the given statement is true.

Note: It is an easy question which can be easily solved with the adequate knowledge of different types of angles. There is a possibility that one may commit a mistake if he/she reads the sign $\left( < \right)$ as $\left( > \right)$ in a hurry to solve this question. So, one must read such types of questions carefully.

__Complete step-by-step answer:__Before proceeding with this question, we will first discuss the definitions of all types of angles.

In geometry, there are five different types of angles based on their degree measure. These five types of angles are,

1) Acute angle

2) Right angle

3) Obtuse angle

4) Straight angle

5) Reflex angle

Now, we will discuss each of these angles one by one.

1) Acute angle: When we have two lines intersecting each other at angles that are less than ${{90}^{\circ }}$, then we can call that type of angle as an acute angle.

2) Right angle: When we have two lines perpendicular to each other, then we can call that the angle between the two lines as a right angle.

3) Obtuse angle: When we have two lines intersecting each other at angles that are greater than ${{90}^{\circ }}$ and lesser than ${{180}^{\circ}}$, then we can call that type of angle as an obtuse angle.

4) Straight angle: When the degree measure of the angle between the two lines is equal to ${{180}^{\circ }}$, we call such an angle a straight angle.

5) Reflex angle: When we have two lines intersecting each other at angles that are greater than ${{180}^{\circ }}$, then we can call that type of angle as a reflex angle.

In the question, the given statement is “the measure of acute angle $<{{90}^{\circ }}$”. From point (1), we know that the angle which has a measure less than ${{90}^{\circ }}$ is called an acute angle.

Hence, the given statement is true.

Note: It is an easy question which can be easily solved with the adequate knowledge of different types of angles. There is a possibility that one may commit a mistake if he/she reads the sign $\left( < \right)$ as $\left( > \right)$ in a hurry to solve this question. So, one must read such types of questions carefully.

Recently Updated Pages

The branch of science which deals with nature and natural class 10 physics CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Define absolute refractive index of a medium

Find out what do the algal bloom and redtides sign class 10 biology CBSE

Prove that the function fleft x right xn is continuous class 12 maths CBSE

Find the values of other five trigonometric functions class 10 maths CBSE

Trending doubts

Assertion CNG is a better fuel than petrol Reason It class 11 chemistry CBSE

How does pressure exerted by solid and a fluid differ class 8 physics CBSE

Number of valence electrons in Chlorine ion are a 16 class 11 chemistry CBSE

What are agricultural practices? Define

What does CNG stand for and why is it considered to class 10 chemistry CBSE

The rate of evaporation depends on a Surface area b class 9 chemistry CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

State whether the following statement is true or false class 11 physics CBSE

A night bird owl can see very well in the night but class 12 physics CBSE