Question

Step-by-step explanation:
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.

Step-by-step explanation:
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.

Step-by-step explanation:
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.

Step-by-step explanation:
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.

Step-by-step explanation:
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.​

Answer 1

Answer:

hence proved,

Angle HOA is the desired angle.

Answer 2

Answer:

Steps of construction:

Step I - draw a line segment AB= 6 cm with the help of ruler.

Step II - With vertex A, by using compass take more than half of AB and draw arcs, one each side of side of AB.

Step III- With vertex B, by using compass with same length, cut the previous arcs at X and Y respectively.