Question

Classify the following angles as right, straight, acute, obtuse or reflex.

Answer 1

Hint:In this question, we can see that the given angle is less than 90 degree.We will check from the definitions of angles and classify the following angle given in the diagram.

Complete step-by-step answer:
If two lines meet at a point, then the angle between them is the amount of turn, in degrees, that is needed around the point of intersection, to make the lines the same. Angles are measured in degrees; a complete whole turn is 360 degrees. We see angels almost everywhere in our day to day life. For example: the angle made by the hands of a clock, the angle made by two intersecting roads, and angles made by blades of a fan
We know that a right-angle measure \[{90^ \circ }\].
Straight angle measured $180^\circ $ is called Straight angle.
Acute angle measures less than \[{90^ \circ }\] is called acute angle.
Obtuse angle is greater than \[{90^ \circ }\] but less than $180^\circ $ is known as Obtuse angle.
Reflex angle is more than $180^\circ $but less than ${360^ \circ }$ is known as Reflex angle.

In the given figure this angle measures less than \[{90^ \circ }\]. It means it is an acute angle.
From the definition of acute angle we can see that given angle is acute angle.

Note:Adjacent angles: Angle with a common vertex and one common side. Complementary angles: Two angles whose measures add to 90 degrees. Two angles are complementary angles because together they form a right angle. Supplementary angles: Two angles whose measures add to 180 degrees. Vertical angles: Angles that have a common vertex and whose sides are formed by the same lines.