Question
Construct a rectangle in which one of the diagonals divides the opposite angles into 50° and 40°.
✓
Answer
We shall draw a rectangle of the form shown in Fig. 1.
Step 1. Using a ruler, draw a line AB equal to 4 cm, say. (Fig. 2.)
Step 2. Using a protractor, mark dots C and D at angles 50° and 90° (50° + 40°), keeping the central point of the protractor at A. (Fig. 3)
Step 3. Using a protractor, draw a perpendicular line to AB at B and let it intersect the extended line AC at E. (Fig 3)
Step 4. Using a protractor, draw a perpendicular line to BE at E and let it intersect the extended line AD at F. (Fig 4)
Step 5. Erase the extra lines in Fig. 4. (Fig. 5)
Step 6. Fig. 5 is the required rectangle in which one of the diagonals divides the opposite angles into 50° and 40°.
Step 1. Using a ruler, draw a line AB equal to 4 cm, say. (Fig. 2.)
Step 2. Using a protractor, mark dots C and D at angles 50° and 90° (50° + 40°), keeping the central point of the protractor at A. (Fig. 3)
Step 3. Using a protractor, draw a perpendicular line to AB at B and let it intersect the extended line AC at E. (Fig 3)
Step 4. Using a protractor, draw a perpendicular line to BE at E and let it intersect the extended line AD at F. (Fig 4)
Step 5. Erase the extra lines in Fig. 4. (Fig. 5)
Step 6. Fig. 5 is the required rectangle in which one of the diagonals divides the opposite angles into 50° and 40°.
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