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Page 1 1. Construct the following angles using setsquares: (i) 45 0 (ii) 90 0 (iii) 60 0 (iv) 105 0 (v) 75 0 (vi) 150 0 Solution: (i) Now place 45 0 using set square. Construct two rays AB and AC along the edges from the vertex A of 45 0 angle of the set square. So the angle formed is 45 0 Hence, ?BAC = 45 0 (ii) Now place 90 0 using set square. Construct two rays BC and BA along the edges from the vertex B of 90 0 angle of the set square. So the angle formed is 90 0 Hence, ?ABC = 90 0 g (iii) Now place 60 0 using set square. Construct two rays BC and BA along the edges from the vertex B of 60 0 angle of the set square. So the angle formed is 60 0 Hence, ?ABC = 60 0 Page 2 1. Construct the following angles using setsquares: (i) 45 0 (ii) 90 0 (iii) 60 0 (iv) 105 0 (v) 75 0 (vi) 150 0 Solution: (i) Now place 45 0 using set square. Construct two rays AB and AC along the edges from the vertex A of 45 0 angle of the set square. So the angle formed is 45 0 Hence, ?BAC = 45 0 (ii) Now place 90 0 using set square. Construct two rays BC and BA along the edges from the vertex B of 90 0 angle of the set square. So the angle formed is 90 0 Hence, ?ABC = 90 0 g (iii) Now place 60 0 using set square. Construct two rays BC and BA along the edges from the vertex B of 60 0 angle of the set square. So the angle formed is 60 0 Hence, ?ABC = 60 0 (iv) Now place 30 0 using set square and make an angle 60 0 . Construct two rays BA and BC as given in figure. Place the set square of angle 45 0 of the setsquare on the ray BA and draw the ray BD. So the angle formed is 105 0 . Hence, ?DBC = 105 0 (v) Now place 45 0 using set square and make an angle 45 0 . Construct two rays BC and BD as shown in figure. Page 3 1. Construct the following angles using setsquares: (i) 45 0 (ii) 90 0 (iii) 60 0 (iv) 105 0 (v) 75 0 (vi) 150 0 Solution: (i) Now place 45 0 using set square. Construct two rays AB and AC along the edges from the vertex A of 45 0 angle of the set square. So the angle formed is 45 0 Hence, ?BAC = 45 0 (ii) Now place 90 0 using set square. Construct two rays BC and BA along the edges from the vertex B of 90 0 angle of the set square. So the angle formed is 90 0 Hence, ?ABC = 90 0 g (iii) Now place 60 0 using set square. Construct two rays BC and BA along the edges from the vertex B of 60 0 angle of the set square. So the angle formed is 60 0 Hence, ?ABC = 60 0 (iv) Now place 30 0 using set square and make an angle 60 0 . Construct two rays BA and BC as given in figure. Place the set square of angle 45 0 of the setsquare on the ray BA and draw the ray BD. So the angle formed is 105 0 . Hence, ?DBC = 105 0 (v) Now place 45 0 using set square and make an angle 45 0 . Construct two rays BC and BD as shown in figure. Place the vertex of 30 0 of the set square on the ray BD and draw the ray BA. So the angle formed is 75 0 Hence, ?ABC = 75 0 . (vi) Now place the vertex of 45 0 of the set square and make an angle 90 0 and construct two rays BD and BC as shown in figure. Place the vertex of 30 0 of the set square on the ray BC and draw the ray BA. So the angle formed is 150 0 Page 4 1. Construct the following angles using setsquares: (i) 45 0 (ii) 90 0 (iii) 60 0 (iv) 105 0 (v) 75 0 (vi) 150 0 Solution: (i) Now place 45 0 using set square. Construct two rays AB and AC along the edges from the vertex A of 45 0 angle of the set square. So the angle formed is 45 0 Hence, ?BAC = 45 0 (ii) Now place 90 0 using set square. Construct two rays BC and BA along the edges from the vertex B of 90 0 angle of the set square. So the angle formed is 90 0 Hence, ?ABC = 90 0 g (iii) Now place 60 0 using set square. Construct two rays BC and BA along the edges from the vertex B of 60 0 angle of the set square. So the angle formed is 60 0 Hence, ?ABC = 60 0 (iv) Now place 30 0 using set square and make an angle 60 0 . Construct two rays BA and BC as given in figure. Place the set square of angle 45 0 of the setsquare on the ray BA and draw the ray BD. So the angle formed is 105 0 . Hence, ?DBC = 105 0 (v) Now place 45 0 using set square and make an angle 45 0 . Construct two rays BC and BD as shown in figure. Place the vertex of 30 0 of the set square on the ray BD and draw the ray BA. So the angle formed is 75 0 Hence, ?ABC = 75 0 . (vi) Now place the vertex of 45 0 of the set square and make an angle 90 0 and construct two rays BD and BC as shown in figure. Place the vertex of 30 0 of the set square on the ray BC and draw the ray BA. So the angle formed is 150 0 Hence, ?ABC = 150 0 2. Given a line BC and a point A on it, constructed a ray AD using set squares so that ?DAC is (i) 30 0 (ii) 150 0 Solution: (i) Construct a line BC and mark a point A on it. Now place a 30 0 set square on the line BC where its vertex of 30 0 angle lies on point A and one edge coincides with the ray AB as shown in figure. Construct the ray AD. Hence, the required ?DAC = 30 0 (ii) Construct a line BC and mark a point A on it. Now place 30 0 set square on the line BC where its vertex of 30 0 lies on point A and one edge coincides with the ray AB as shown in figure. Construct the ray AD Hence, ?DAB = 30 0 Page 5 1. Construct the following angles using setsquares: (i) 45 0 (ii) 90 0 (iii) 60 0 (iv) 105 0 (v) 75 0 (vi) 150 0 Solution: (i) Now place 45 0 using set square. Construct two rays AB and AC along the edges from the vertex A of 45 0 angle of the set square. So the angle formed is 45 0 Hence, ?BAC = 45 0 (ii) Now place 90 0 using set square. Construct two rays BC and BA along the edges from the vertex B of 90 0 angle of the set square. So the angle formed is 90 0 Hence, ?ABC = 90 0 g (iii) Now place 60 0 using set square. Construct two rays BC and BA along the edges from the vertex B of 60 0 angle of the set square. So the angle formed is 60 0 Hence, ?ABC = 60 0 (iv) Now place 30 0 using set square and make an angle 60 0 . Construct two rays BA and BC as given in figure. Place the set square of angle 45 0 of the setsquare on the ray BA and draw the ray BD. So the angle formed is 105 0 . Hence, ?DBC = 105 0 (v) Now place 45 0 using set square and make an angle 45 0 . Construct two rays BC and BD as shown in figure. Place the vertex of 30 0 of the set square on the ray BD and draw the ray BA. So the angle formed is 75 0 Hence, ?ABC = 75 0 . (vi) Now place the vertex of 45 0 of the set square and make an angle 90 0 and construct two rays BD and BC as shown in figure. Place the vertex of 30 0 of the set square on the ray BC and draw the ray BA. So the angle formed is 150 0 Hence, ?ABC = 150 0 2. Given a line BC and a point A on it, constructed a ray AD using set squares so that ?DAC is (i) 30 0 (ii) 150 0 Solution: (i) Construct a line BC and mark a point A on it. Now place a 30 0 set square on the line BC where its vertex of 30 0 angle lies on point A and one edge coincides with the ray AB as shown in figure. Construct the ray AD. Hence, the required ?DAC = 30 0 (ii) Construct a line BC and mark a point A on it. Now place 30 0 set square on the line BC where its vertex of 30 0 lies on point A and one edge coincides with the ray AB as shown in figure. Construct the ray AD Hence, ?DAB = 30 0 We know that the angle on one side of the straight line will always add to 180 0 So we get ?DAB + ?DAC = 180 0 Hence, ?DAC = 150 0Read More
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