Answer

Verified

420.3k+ views

**Hint:**

A linear pair of angles is formed when two lines intersect. The sum of two adjacent angles of intersecting lines is ${180^\circ}$ and it is called a linear pair.

The angle which measures less than ${90^\circ}$ is called acute angle, angle measure more than ${90^\circ}$ is called obtuse angle and angle which measures equal to ${90^\circ}$ is called right angle.

**Complete step by step solution:**

Let there be two intersecting straight lines at intersecting point O and suppose ‘x’ and ‘y’ are two adjacent angles which form a linear pair. So,

$x + y = {180^\circ}$

Case-1: If $x < {90^\circ}$

Then ‘y’ must be greater than ${90^\circ}$. So, in this case, one angle (x) is acute and other is obtuse (y)

Case-2: If $x = {90^\circ}$

Then ‘y’ must be equal to ${90^\circ}$. So, both are right angled triangles in this case.

Case-3: $x > {90^\circ}$

Then ‘y’ must be less than ${90^\circ}$. So, ‘x’ is obtuse and ‘y’ is an acute angle in this case.

As seen in all three cases, one angle is acute or both are acute angles. So there is no case in which both are acute angles.

**So, option B is correct.**

**Note:**

There are also two additional types of angles called straight angle and reflex angle. The straight angle measures ${180^\circ}$ and reflex angle measures between ${180^\circ}$ and ${360^\circ}$.

A polygon having interior angles less than ${180^\circ}$ is called a convex polygon and if a polygon has at least one angle more than ${180^\circ}$ then the polygon is called a concave polygon.

Recently Updated Pages

Mark and label the given geoinformation on the outline class 11 social science CBSE

When people say No pun intended what does that mea class 8 english CBSE

Name the states which share their boundary with Indias class 9 social science CBSE

Give an account of the Northern Plains of India class 9 social science CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

Advantages and disadvantages of science

Trending doubts

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

Difference Between Plant Cell and Animal Cell

Which are the Top 10 Largest Countries of the World?

10 examples of evaporation in daily life with explanations

Give 10 examples for herbs , shrubs , climbers , creepers

Write a letter to the principal requesting him to grant class 10 english CBSE

Change the following sentences into negative and interrogative class 10 english CBSE