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Construct the angle of the measurement:

1 . 105°

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#### Solution

Steps of construction:

1. Draw a line segment AB.

2. With center A and any radius, draw an arc which intersect AB at C.

3. With center C and same radius, draw an arc which intersects previous arc at D.

4. With center D and same radius, draw an arc which interest are in (2) at E

5. With centers E and D and radius more than `1/2`ED, draw arcs intersecting each other at F.

6. Join FA which intersects arc in (2) at E

7. With centers E and G, and radius more than half of EG, draw arcs intersecting eachother at H.

8. Join HA

`∠`HAB =105°

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