ICSE Board Practice

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ICSE Grade VI - Triangles

Question 1

1.	In a right-angled triangle, the two acute angles are in the ratio 7 : 11. Find these angles.
	A = 37° , C = 57° A = 36° , C = 56° A = 33° , C = 53° A = 35° , C = 55° A = 34° , C = 54°

Question 2

2.	Consider the following figure. State which of the following statements are true
	a) ∠Q ≠ ∠R b) ∠Q = ∠R c) ∠P = ∠Q d) ∠R ≠ ∠P e) ∠P ≠ ∠Q f) ∠R = ∠P
	{d,b,c} {d,c} {a,b} {e,a,f} {b,c,f}

Question 3

3.	Which of the following are measures of an obtuse angled triangle ?
	∠P = 42.88° , ∠Q = 90° , ∠R = 47.12° ∠P = 45° , ∠Q = 90° , ∠R = 45° ∠P = 52.89° , ∠Q = 41.65° , ∠R = 85.46° ∠P = 102.21° , ∠Q = 32.89° , ∠R = 44.9° ∠P = 51.32° , ∠Q = 51.32° , ∠R = 77.36°

Question 4

4.	Find the unknown angle in the following figure
	x = 137° x = 135° x = 133° x = 136° x = 134°

Question 5

5.	Which of the following are measures of an isosceles right angled triangle ?
	∠J = 67.38° , ∠K = 53.13° , ∠L = 59.49° ∠J = 130.54° , ∠K = 22.33° , ∠L = 27.13° ∠J = 60° , ∠K = 60° , ∠L = 60° ∠J = 44.42° , ∠K = 78.46° , ∠L = 57.12° ∠J = 45° , ∠K = 90° , ∠L = 45°

Question 6

6.	One of the two equal angles of an isosceles triangle measures 39°. Find the measure of each angle of the triangle.
	A = 41° , B = 39° , C = 100° A = 39° , B = 37° , C = 104° A = 39° , B = 39° , C = 102° A = 37° , B = 39° , C = 104° A = 37° , B = 41° , C = 102°

Question 7

7.	Two angles of a triangle measure 60° and 69° respectively. Find the measure of the third angle of the triangle
	52° 51° 49° 53° 50°

Question 8

8.	The side opposite to the vertex J
	IJ       KI       JK       LJ       IM

Question 9

9.	Find the angles of the triangle
	E = 62° , F = 45° , G = 73° E = 58° , F = 47° , G = 75° E = 58° , F = 45° , G = 77° E = 60° , F = 45° , G = 75° E = 60° , F = 43° , G = 77°

Question 10

10.	The vertex opposite to the side   NL
	NO     M P L

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