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Construct the angle of the measurement:

1 . 75°

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#### Solution

**Steps of construction:**

1. Draw a line segment AB.

2. With center A 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 G

7. With centers G and D, and radius more than `1/2` GD draw arcs intersecting each other at H.

8. Join HA

∴ `∠`HAB = 75°

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