**Basic Geometrical Ideas**

**Question 1.Name the angles in the given figure.**

**Solution:**

The angles in the given figure are named as ∠ABC, ∠BCD, ∠CDA and ∠DAB.

**Question 2.In the given diagram, name the point(s)**

**(a)**In the interior of ∠DOE

**(b)**In the exterior of ∠EOF

**(c)**On ∠EOF

**Solution:**

Clearly, from the given figure :**(a)** The point A lies in the interior of ∠DOE. .

**(b)**The points A and C lie in the exterior of ∠EOF.

**(c)**The points E, B, O and F lie on ∠EOF.

**Question 3.Draw rough diagrams of two angles such that they have**

**(a)**One point in common

**(b)**Two points in common

**(c)**Three points in common

**(d)**Four points in common

**(e)**One ray in common

**Solution:****(a)** The diagram is shown as below

Here, ∠ROQ and ∠QOP have one point O in common.**(b)** The diagram is shown as below

Here, ∠MON and ∠ONR have two points O and N in common.**(c)** Drawing a diagram of two angles, such that they have three points in common, is not possible.**(d)** Drawing a diagram of two angles, such that they have four points in common, is not possible.**(e)** In the figure given below, ∠SOT and ∠POT have one ray in common.