Class 7 ICSE Solutions For Chapter 14 Lines And Angles (Including ...

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Home > Selina solutions Class 7 Mathematics > Chapter 14 lines and angles including construction of angles Selina solutions concise mathematica class 7 icse Solutions for Chapter 14 lines and angles including construction of angles Exercises in Chapter 14 lines and angles including construction of angles Grade 7 Exercise 14(A) Exercise 14(B) Exercise 14(C) Questions in Exercise 14(A)

Q1) State, true or false :

(i) A line segment 4 cm long can have only 2000 points in it.

(ii) A ray has one end point and a line segment has two end-points.

(iii) A line segment is the shortest distance between any two given points.

(iv) An infinite number of straight lines can be drawn through a given point.

(v) Write the number of end points in

(a) a line segment AB (b) array AB

(c) a lineAB

(vi) Out of \overline{AB},\overrightarrow{AB,}\ \ \ \overline{AB,}\ \ \ and\ \overline{\ AB} which one has a fixed length?

(vii) How many rays can be drawn through a fixed point O?

(viii) How many lines can be drawn through three

(a) collinear points?

(b) non-collinear points?

(ix) Is 40° the complement of 60°?

(x) Is 45° the supplement of 45°?

Q2) In which of the following figures, are ∠AOB and ∠AOC adjacent angles? Give, in each case, the reason for your answer.

Q3) In the given figure, B AC is a straight line.

Find : (i) x (ii) ∠AOB (iii) ∠BOC

Q4) Find y in the given figure.

Q5) In the given figure, find ∠PQR

Q6) In the given figure. p° = q° = r°, find each.

Q7) In the given figure, if x = 2y, find x and y

Q8) In the adjoining figure, if b° = a° + c°, find b.

Q9) In the given figure, AB is perpendicular to BC at B.

Find : (i) the value of x.

(ii) the complement of angle x.

Q10) Write the complement of:

(i) 25^{\circ}

(ii) 90^{\circ}

(iii) a^n

(iv) \left(x+5\right)^{\circ}

(v) \left(30-a\right)^{\circ}

(vi) \frac{1}{2} of a right angle

(vii) \frac{1}{3}of\ 180^{\circ}

(viii) 21^{\circ}17′

Q11) (i) 100°

(ii) 0°

(iii) x°

(iv) (x + 35)°

(v) (90 +a + b)° f

(vi) (110 – x – 2y)°

(vii) \frac{1}{5}\ ofa\ right\ angle

(viii) 80° 49′ 25″

Q12) (i) 10° and 80°

(ii) 37° 28′ and 52° 33′

(iii) (x+ 16)°and(74-x)°

(iv) 54°and\ \frac{2}{5}ofa\ right\ angle.

Q13) Are the following pairs of angles supplementary?

(i) 139^{\circ}\ \ \ and\ 39^{\circ}

(ii) 26^{\circ}59’\ \ and\ 153^{\circ}1′

(iii) \frac{3}{10}\ \ of\ a\ right\ angle\ and\ \frac{4}{15}of\ two\ right\ angles\

(iv) 2x^{\circ}+65^{\circ}\ \ and\ 115^{\circ}-2x^{\circ}

Q14) If 3x + 18° and 2x + 25° are supplementary, find the value of x.

Q15) If two complementary angles are in the ratio 1:5, find them.

Q16) If two supplementary’ angles are in the ratio 2 : 7, find them.

Q18) 20% of an angle is the supplement of 60°. Find the angle.

Q19) 10% of x° is the complement of 40% of 2x°. Find x .

Q20) Use the adjacent figure, to find angle x and its supplement.

Q21) Find k in each of the given figures.

Q22) In the given figure, lines PQ, MN and RS intersect at O. If x : y = 1 : 2 and z = 90°, find ∠ROM and ∠POR

Q23) In the given figure, find ∠AOB and ∠BOC.

Q24) Find each angle shown in the diagram.

Q25) AB, CD and EF are three lines intersecting at the same point.

(i) Find x, if y = 45° and z = 90°.

(ii) Find a, if x = 3a, y = 5x and r = 6x.

Questions in Exercise 14(B)

Q1) In questions 1 and 2, given below, identify the given pairs of angles as corresponding angles, interior alternate angles, exterior alternate angles, adjacent angles, vertically opposite angles or allied angles :

(i) ∠3 and ∠6

(ii) ∠2 and ∠4

(iii) ∠3 and ∠7

(iv) ∠2 and ∠7

(v) ∠4 and∠6

(vi) ∠1 and ∠8

(vii) ∠1 and ∠5

(viii) ∠1 and ∠4

(ix) ∠5 and ∠7

Q2) (i) ∠1 and ∠4

(ii) ∠4 and ∠7

(iii) ∠10 and ∠12

(iv) ∠7 and ∠13

(v) ∠6 and ∠8

(vi) ∠11 and ∠8

(vii) ∠7 and ∠9

(viii) ∠4 and ∠5

(ix) ∠4 and ∠6

(x) ∠6 and ∠7

(xi) ∠2 and ∠13

Q3) In the given figures, the arrows indicate parallel lines. State which angles are equal. Give reasons.

Q4) In the given figure, find the measure of the unknown angles :

Q5) Which pair of the dotted line, segments, in the following figures, are parallel. Give reason:

Q6) In the given figures, the directed lines are parallel to each other. Find the unknown angles.

Q7) Find x y and p is the given figures:

Q8) Find x in the following cases :

Questions in Exercise 14(C)

Q1) Using ruler and compasses, construct the following angles :

(i)30°

(ii)15°

(iii) 75°

(iv) 180°

(v) 165°

(vi) 22.5°

(vii) 37.5°

(viii) 67.5°

Q2) Draw ∠ABC = 120°. Bisect the angle using ruler and compasses only. Measure each 1 angle so obtained and check whether the angles obtained on bisecting ∠ABC are equal or not.

Q3) Draw a line segment PQ = 6 cm. Mark a point A in PQ so that AP = 2 cm. At point A, construct angle QAR = 60°.

Q4) Draw a line segment AB = 8 cm. Mark a point P in AB so that AP = 5 cm. At P, construct angle APQ = 30°.

Q5) Construct an angle of 75° and then bisect it.

Q6) Draw a line segment of length 6 .4 cm. Draw its perpendicular bisector.

Q7) Draw a line segment AB = 5.8 cm. Mark a point P in AB such that PB = 3.6 cm. At P, draw a perpendicular to AB.

Q8) In each case, given below, draw a line through point P and parallel to AB :

Share Facebook Whatsapp Copy Link Was This helpful? Chapters in this book Integers Rational Numbers Fractions (Including Problems) Decimal Fractions (Decimals) Exponents (including Laws of Exponents) Ratio and Proportion (Including Sharing in a Ratio) Unitary Method (including Time and Work) Percent and Percentage Profit, Loss and Discount Simple Interest Fundamental Concepts (Including Fundamental Operations) Simple Linear Equations (Including Word Problems) Set Concepts (Some Simple Divisions by Vedic Method) Lines and Angles (Including Construction of angles) Triangles Pythagoras Theorem Symmetry (Including Reflection and Rotation) Recognition of Solids (Representing 3-D in 2-D) Congruency: Congruent Triangles Mensuration Data Handling Probability

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