Question

# Construct the following angles using set-squares: (i) 45° (ii) 90° (iii) 60° (iv) 105° (v) 75° (vi) 150°

Solution

## (i) Place 45° set-square. Draw two rays AB and AC along the edges from the vertex of 45° angle of the set-square. The angle so formed is a 45° angle. ∠BAC = 45° (ii) Place 45° set-square as shown in the figure. Draw two rays BC and BA along the edge from the vertex of 90° angle. The angle so formed is 90° angle. ∠ABC = 90° (iii) Place 30° set-square as shown in the figure. Draw the rays BA and BC along the edges from the vertex of 60°. The angle so formed is 60°. ∠ABC = 60° (iv) Place 30° set-square and make an angle of 60° by drawing the rays BA and BC as shown in the figure. Now, place the vertex of 45° of  the set-square on the ray BA as shown in the figure and draw the ray BD. The angle so formed is 105° ∴ ∠DBC = 105° (v) Place 45° set-square and make an angle of 45° by drawing the rays BD and BC as shown in the figure. Now, place the vertex of 30° of  the set-square on the ray BD as shown in the figure and draw the ray BA. The angle so formed is 75°. ∴ ∠ABC = 75° (Line BD is hidden) (vi) Place the vertex of 45° of  the set-square and make angle of 90° by drawing the rays BD and BC as shown in the figure. Now, place the vertex of 30° of  the set square on the ray BD as shown in the figure and draw the ray BA. The angle so formed is 150°. ∴ ∠ABC = 150° MathematicsRD Sharma (2013)Standard VI

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