Question

In the given diagram , name the point(s):
(a) In the interior of angle \[\;DOE\]
(b) In the exterior of angle \[\;EOF\]
(c) On angle \[EOF\]

Answer 1

Hint: We have to find the points which lie in or on the different angles as given in the above conditions . We solve this question using the concept of study of angles , its various types and points on the lines on the angles . Studying the given diagram we will answer the questions as follows .

Complete step-by-step answer:
Angles are the measure of the gap between the two lines which join at a particular point . Angles can be measured by various methods i.e. using a protractor , fine angles can be measured using a compass and pencil .
The various types of angles are right angle , acute angle , obtuse angle , straight angle , reflex angle , complete angle or full angle . The angles are grouped in different types according to the value of their measures .
(A) The point/s in the interior of angle \[\;DOE\] is point \[A\] .
(B) The point/s in the exterior of angle \[EOF\] is point \[C\] .
(C) The point/s on the angle \[EOF\] are point \[E{\text{ }},{\text{ }}B{\text{ }},{\text{ }}O{\text{ }},{\text{ }}F\] .
So, the correct answer is “Option B”.

Note: Angle is defined as the space between two intersecting lines or two surfaces . The angles are defined in various types as given below :
(1) acute angles :
The angle whose measure is less than \[{90^ \circ }\]and more than\[{0^ \circ }\]. It is also stated as a supplementary angle .
(2) obtuse angle :
The angle whose measure is more than \[{90^ \circ }\]and less than\[{180^ \circ }\]. It is also stated as a complementary angle .