Selina solutions concise mathematics class 6 icse Solutions for Chapter 24 angles with their types

Q1)

For each angle given below, write the name of the vertex, the names of the arms and the name of the angle.

Q2)

Name the points :

(i) in the interior of the angle PQR,

(ii) in the exterior of the angle PQR.

Q3)

In the given figure, figure out the number of angles formed within the arms OA and OE.

Q4)

Add :

(i) 29° 16′ 23″ and 8° 27′ 12″

(ii) 9° 45’56” and 73° 8′ 15″

(iii) 56° 38′ and 27° 42’30”

(iv) 47° and 61° 17’4″

Q5)

In the figure, given below name :

(i) three pairs of adjacent angles.

(ii) two acute angles,

(iii) two obtuse angles

(iv) two reflex angles.

Q6)

In the given figure ; PQR is a straight line. If :

(i) ∠SQR = 75° ; find ∠PQS.

(ii) ∠PQS = 110°; find ∠RQS

Q7)

In the given figure ; AOC-is a straight line. If angle AOB = 50°, angle AOE = 90° and angle COD = 25° ; find the measure of :

(i) angle BOC

(ii) angle EOD

(iii) obtuse angle BOD

(iv) reflex angle BOD

(v) reflex angle COE.

Q8)

In the given figure if :

(i) a = 130° ; find b.

(ii) b = 200 ; find a.

(iii) a = 5/3 right angle, find b

Q9)

In the given diagram, ABC is a straight line.

(i) If x = 53°, find y.

(ii) If y =112 right angles ; find x.

Q10)

In the given figure, AOB is a straight line. Find the value of x and also answer each of the following :

(i) ∠AOP = ……..

(ii) ∠BOP = ……..

(iii) which angle is obtuse ?

(iv) which angle is acute ?

Q11)

In the given figure, PQR is a straight line. Find x. Then complete the following:

(i) ∠AQB = ……..

(ii) ∠BQP = ……..

(iii) ∠AQR = …….

Q12)

In the given figure, lines AB and CD intersect at point O.

(i) Find the value of ∠a.

(ii) Name all the pairs of vertically opposite angles.

(iii) Name all the pairs of adjacent angles.

(iv) Name all the reflex angles formed and write the measure of each.

Q13)

In the given figure :

(i) If ∠AOB = 45°, ∠BOC = 30° and ∠AOD= 110°;

find : angles COD and BOD.

(ii) If ∠BOC = ∠DOC = 34° and ∠AOD = 120° ;

find : angle AOB and angle AOC.

(iii) If ∠AOB = ∠BOC = ∠COD = 38°

find : reflex angle AOC and reflex angle AOD.

Q1)

Write the complement angle of :

(i) 45°

(ii) x°

(iii) (x – 10)°

(iv) 20° + y°

Q2)

Write the supplement angle of :

(i) 49°

(ii) 111°

(iii) (x – 30)°

(iv) 20° + y°

Q3)

Write the complement angle of :

(i) \frac{1}{2} of 60°

(ii) 1/5 of 160°

(iii)

\frac{2}{5} of 70°

(iv) 1/6 of 90°

Q4)

(i) 50% of 120°

(ii) \frac{1}{3} of 150°

(iii) 60% of 100°

(iv) \frac{3}{4} of 160°

Q5) Find the angle :

(i) that is equal to its complement ?

(ii) that is equal to its supplement ?

Q6)

Two complementary angles are in the ratio 7 : 8. Find the angles.

Q7)

Two supplementary angles are in the ratio 7 : 11. Find the angles.

Q8)

The measures of two complementary angles are (2x – 7)° and (x + 4)°. Find x.

Q9)

The measures of two supplementary angles are (3x + 15)° and (2x + 5)°. Find x.

Q10)

For an angle x°, find :

(i) the complementary angle

(ii) the supplementary angle

(iii) the value of x° if its supplementary angle is three times its complementary angle.

Q1)

Explain what do you understand by :

(i) Adjacent angles ?

(ii) Complementary angles ?

(iii) Supplementary angles ?

Q2)

Find the value of ‘x’ for each of the following figures :

Q3)

Find the number of degrees in an angle that is (i) \frac{3}{5} of a right angle (ii) 0.2 times of a straight line angle.

Q4)

In the given figure; AB, CD and EF are straight lines. Name the pair of angles forming :

(i) straight line angles.

(ii) vertically opposite angles.

Q5)

Find the complement of :

(i) \frac{2}{5} of 210°

(ii) 0.4 times of 130°

Q6)

Find the supplement of :

(i) \frac{5}{7} of 154°

(ii) 0.7 times of 150°

Q7)

Two complementary angles are in the ratio 8 : 7. Find the angles.

Q8)

Two supplementary angles are in the ratio 7 : 5. Find the angles.

Q9)

Two supplementary angles are (5x – 82°) and (4x + 73°). Find the value of x.

Q10)

Find the angle formed by the arms of a clock at:

(i) 3 O’clock

(ii) 6 O’clock

(iii) 9 O’clock

(iv) 12 O’clock

Q11)

For an angle y°, find :

(i) its supplementary angle.

(ii) its complementary angle.

(iii) the value of y° if its supplement is four times its complement.

Q12)

Use the adjoining figure to find :

(i) ∠BOD

(ii) ∠AOC

Q13)

Two adjacent angles forming a linear pair are in the ratio 7:5, find the angles.

Q13)

Two adjacent angles forming a linear pair are in the ratio 7:5, find the angles.

Q15)

An angle is one-thirds of a straight line angle ; find :

(i) the angle

(ii) the complement and the supplement of the angle obtained above.