6th Maths : Term 1 Unit 4 : Geometry : Exercise 4.4 : Text Book Back Exercises Questions with Answers, Solution

__Exercise
4.4__

__Miscellaneous
Practice Problems__

** **

**1.
Find the type of lines marked in thick lines (Parallel, intersecting or perpendicular).**

**Answer:** (i) Parallel lines

(ii) Parallel lines

(iii) Parallel & Perpendicular lines

(iv) Intersecting lines.

** **

**2.
Find the parallel and intersecting line segments in the picture given below.**

** **

**3.
Name the following angles as shown in the figure.**

**(i)
****∠****1 =**

**(ii)
****∠****2 =**

**(iii)
****∠****3 =**

**(iv)
****∠****1 + ****∠****2 =**

**(v)
****∠****2 + ****∠****3 =**

**(vi)
****∠****1 + ****∠****2 + ****∠****3 =**

Answer:

(i) ∠1 = ∠CBD (or) ∠DBC

(ii) ∠2 = ∠DBE (or) ∠EBD

(iii) ∠3 = ∠EBA (or) ∠ABE

(iv) ∠1 + ∠2 = ∠CBE (or) ∠EBC

(v) ∠2 + ∠3 = ∠DBA (or) ∠ABD

(vi) ∠1 + ∠2 + ∠3 = ∠ABC (or) ∠CBA

** **

**4.
Measure the angles of the given figures using protractor and identify the type of
angle as acute, obtuse, right or straight.**

**Answer: **

(i) Right angle

(ii) Acute angle

(ii) Straight line

(iv) Obtuse angle

** **

**5.
Draw the following angles using the protractor.**

**(i)
45º **

**(ii)
120º **

**(iii)
65º **

**(iv)
135º **

**(v)
0º**

**(vi)
180º **

**(vii)
38º **

**(viii)
90º**

** **

**6.
From the figures given below, classify the following pairs of angles into complementary
and non complementary.**

**Answer: **

**Complementary – ( i) &
(v) **

**Non−complementary − (ii), (iii)
& (iv) **

** **

**7.
From the figures given below, classify the following pairs of angles into supplementary
and non supplementary.**

**Answer: **

**Supplementary**
− (ii) & (iv)

**Non−Supplementary − **(i),
(iii)

** **

**8.
From the figure**

**(i)
name a pair of complementary angles**

**(ii)
name a pair of supplementary angles**

**Answer:**

(i) Complementary angles

∠FAE
& ∠EAD

(ii) Supplementary angles

(a) ∠FAD & ∠DAC

(b) ∠BAF & ∠FAE

(c) ∠EAD & ∠DAB

(d) ∠BAC & ∠CAE

** **

**9.
Find the complementary angle of**

**(i)
30º **

**(ii)
26º **

**iii)
85º**

**(iv)
0º**

**(v)
90º**

**Solution:**
Complementary angle (90°− θ)

(i) 90° − 30° = 60°

(ii) 90° − 35° = 65°

(iii) 90° − 85° = 5°

(iv) 90° − 0° = 90°

(v) 90° − 90° = 0°

** **

**10.
Find the supplementary angle of **

**(i)
70º **

**(ii)
35º**

**(iii)
165º **

**(iv)
90º **

**(v)
0º**

**(vi)
180º**

**(vii)
95º **

**Solution:**
Supplementary angle (180° − θ°)

(i) 180° − 70° = 110°

(ii) 180° − 35° = 145°

(iii) 180° − 165° = 15°

(iv) 180° − 90° = 90°

(v) 180°− 0° = 180°

(vi) 180° − 180° = 0°

(vii) 180° − 95° = 85°

** **

__Challenging
Problems__

** **

**11.
Think and write an object having**

**● Parallel
lines (1) __________ (2) __________ (3) __________**

**● Perpendicular
lines (1) __________ (2) __________ (3) __________**

**● Intersecting
lines (1) __________ (2) __________ (3) __________**

**•**** Parallel lines **

**Answer:** __(1) Railway Track (2)
edgesof scale (3) Legs of table __

**• ****Perpendicular lines **

**Answer:**

__(1) Cross bars of windows__

__(2) Adjacent sides of the text book__

__(3) Adjacent sides of Black board __

**• ****Intersecting lines **

**Answer:** __(1) Ladder (2) Blades of
scissor (3) Cross bars of windows__

** **

**12.
Which angle is equal to twice its complement?**

**Answer:** 60°

** **

**13.
Which angle is equal to two-third of its supplement?**

**Answer:** 72°

** **

**14.
Given two angles are supplementary and one angle is 20º more than other. Find the
two angles.**

**Answer:** The two angles are 80° & 100°

** **

**15.
Two complementary angles are in ratio 7:2. Find the angles.**

**Answer:** Two angles are 70° & 20°

** **

**16.
Two supplementary angles are in ratio 5:4. Find the angles.**

**Answer:** The angles are 100° & 80°

** **

__Answers:__

__Exercise 4.4__

**1) i) Parallel lines **

**ii) Parallel lines **

**iii) Parallel and Perpendicular lines **

**iv) Intersecting lines**

**2) Parallel lines**

**3) i) ****∠****1
= ****∠****CBD
or ****∠****DBC**

**ii) ****∠****2
= ****∠****DBE
or ****∠****EBD**

**iii) ****∠****3
= ****∠****ABE
or ****∠****EBA**

**iv) ****∠****1+****∠****2
= ****∠****CBE
or ****∠****EBC**

**v) ****∠****2
+ ****∠****3
= ****∠****ABD
or ****∠****DBA**

**vi) ****∠****1
+ ****∠****2
+ ****∠****3
= ****∠****ABC
or ****∠****CBA**

**4) i) right angle ii) acute angle iii) straight angle iv) obtuse
angle**

**6) (i) and (v) are complementary angles (ii), iii) and iv) are
non-complementary angles**

**7) ii) and iv) are supplementary**

** i) and iii) are not
supplementary**

**8) i) ****∠****
FAE; ****∠****EAD**

**ii) ****∠****FAD;
****∠****DAC**

** ****∠****BAC;
****∠****CAE
**

** ****∠****
FAB; ****∠****BAC
**

** ****∠****
FAB; ****∠****FAE
**

**9) i) 60˚ ii) 64˚ iii) 5˚ iv) 90˚ v) 0˚ **

**10) i) 110˚ ii) 145˚ iii) 15˚ iv) 90˚ v) 180˚ vi) 0˚ vii) 85˚**

**11) i) Legs of the table, railway track, edges of the scale**

**ii) Adjacent sides of a Board, Cross bars of windows, Adjacent
sides of the textbook**

**iii) Cross bars of windows, Ladder, blades of a scissor.**

**12) 60˚ is twice its complement.**

**13) 72˚**

**14) The two angles are 80˚ and 100˚**

**15) Two angles are 70˚ and 20˚.**

**16) The angles are 100˚ and 80˚.**

**EUCLID**

(325 BC – 265 BC)

He was a Greek Mathematician who founded
the plane geomety through his postulates in a set of 13 books called "ELEMENTS". His work “ELEMENTS” influenced the
whole world’s understanding of geometry for generations.

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6th Maths : Term 1 Unit 4 : Geometry : Exercise 4.4 | Questions with Answers, Solution | Geometry | Term 1 Chapter 4 | 6th Maths

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