Using ruler and a pair of compasses only construt triangle ABC such that AB 8cm angle ABC 60° and angle BAC 75°

Locate the point o inside ∆ ABC equidistant from A B and C
Construct the circle with center o which passes through A

If you can construct a 60° angle, you can construct a 75° angle

(bisect 60° twice to get 15° and add that to 60°)
The point O is the circumcenter, and lies where the angle bisectors meet.

Thanks

using a ruler and a pair of compass to only, construct a triangle ABC such that angle AB =7cm, angle AC =9cm and angle BAC =30

Help me please

I don't know

To construct triangle ABC, follow these steps:

1. Take a ruler and draw a line segment AB of length 8 cm.
2. Using the pair of compasses, place the pivoting end on point A and draw an arc that intersects line AB.
3. Without changing the compass width, place the pivoting end on point B and draw another arc that intersects the first one.
4. Label the intersection of the arcs as point C.
5. Draw lines AC and BC to complete triangle ABC.

Next, to locate the point O inside triangle ABC equidistant from points A, B, and C, follow these steps:

1. Take the pair of compasses and place the pivoting end on point A.
2. Adjust the compass width to a length greater than half of line segment AB.
3. Without changing the compass width, draw an arc that intersects lines AC and BC.
4. Repeat the same process with the pivoting end on points B and C, respectively.
5. Label the three intersection points as O1, O2, and O3.

Finally, to construct the circle with center O that passes through point A, proceed as follows:

1. With the pair of compasses, place the pivoting end on point O1 and adjust the compass width to reach point A.
2. Without changing the compass width, draw a circle.
3. This circle with center O1 passing through A will be the desired circle.