Question

Construct with ruler and compass an angle of 75 degree and bisect it write measure of angle formed wite step of construction

Answer 1

Step 1: Draw a line segment with endpoint O and A.

Step 2: Draw an arc with O as centre cutting the line segment OA at point B with a compass.

Step 3: Keeping the radius same, Draw an arc with B as centre cutting the arc at C.

Step 4: Keeping the radius same, and C as the center, draw an arc intersecting the arc drawn in the previous step at D.

Step 5: With any radius, Draw two arcs with C and D as a center. Intersect these two arcs at E.

Step 6: Join OE. angle EOA is the angle with measurement of 90 degrees.

Step 7: Now the line OE intersect the arc at the point F.

Step 8: Taking F and C as a center, make an arc with a radius of more than half of the measurement FC. The arc intersects at point H.

Step 9: Join the point H and O. Angle HOA is the angle obtained of measurement 75 degrees.

Step 10: Angle HOA is the desired angle.