ICSE Board Practice

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ICSE Grade VI - Parallel Lines

Question 1

1.	In the adjoining figure, side IJ of parallelogram GHIJ has been produced to K. If ∠HIK = 112.86° , find the measure of each angle of the parallelogram.
	G = 67.14° , H = 112.86° , I = 67.14° , J = 112.86° G = 69.14° , H = 111.86° , I = 65.14° , J = 113.86° G = 68.14° , H = 111.86° , I = 69.14° , J = 110.86° G = 66.14° , H = 110.86° , I = 68.14° , J = 114.86° G = 65.14° , H = 114.86° , I = 66.14° , J = 113.86°

Question 2

2.	In the given figure l ∥ m. Find the value of 't'
	15 18 21 19 17

Question 3

3.	In the given figure l ∥ m. Find the value of 'r'
	83° 58° 53° 68° 63°

Question 4

4.	In which of the figures given bellow, l ∥ m?
	I IV III II

Question 5

5.	Find the corresponding angles in the given figure
	∠3 , ∠4 , ∠5 , ∠6 ∠1 , ∠5 ; ∠2 , ∠6 ; ∠3 , ∠7 ; ∠4 , ∠8 ∠1 , ∠2 , ∠7 , ∠8 ∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7 ∠3 , ∠5 ; ∠4 , ∠6

Question 6

6.	In the adjoining figure, CDEF is a parallelogram and GH is such that   GH     ∥   CE     If ∠CFG = 28.34° and ∠EFH = 26.88° , find the measure of ∠CDE .
	122.78° 125.78° 124.78° 123.78° 126.78°

Question 7

7.	Find the interior angles in the given figure
	∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7 ∠1 , ∠2 ; ∠2 , ∠4 ; ∠4 , ∠3 ; ∠3 , ∠1 ; ∠5 , ∠6 ; ∠6 , ∠8 ; ∠8 , ∠7 ; ∠7 , ∠5 ∠1 , ∠8 ; ∠2 , ∠7 ∠1 , ∠5 ; ∠2 , ∠6 ; ∠3 , ∠7 ; ∠4 , ∠8 ∠3 , ∠4 , ∠5 , ∠6

Question 8

8.	In which of the figures given bellow, l ∦ m(not parallel)?
	II III I IV

Question 9

9.	Find the co-interior angles in the given figure
	∠1 , ∠2 , ∠7 , ∠8 ∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7 ∠3 , ∠4 , ∠5 , ∠6 ∠3 , ∠5 ; ∠4 , ∠6 ∠1 , ∠8 ; ∠2 , ∠7

Question 10

10.	In the given figure, IJ ∥ KL and IK = KM. Find the values of x,y and z.
	x = 28° , y = 70° , z = 42° x = 30° , y = 70° , z = 40° x = 28° , y = 72° , z = 40° x = 32° , y = 70° , z = 38° x = 30° , y = 68° , z = 42°

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