Verified answer

Step-by-step explanation:

We need to construct two adjacent angles of 60°. The second angle should be bisected twice to get a 15° angle.

We need to construct two adjacent angles of 60°. The second angle should be bisected twice to get a 15° angle.75° = 60° + 15°

We need to construct two adjacent angles of 60°. The second angle should be bisected twice to get a 15° angle.75° = 60° + 15°15° = 30°/2 = (60/2) ÷ 2

Step-by-step explanation:

To construct angle 75°:

1. Draw AB with any measurement.
2. With A as centre, with convenient scale draw an arc AB which intersect at C.
3. With C as centre with same radius draw an arc which intersect at D. ∠DAB=60°
4. With D as centre with same radius draw an arc which intersect at E.
5. With Centres E and D, by taking more than half of ED draw two arcs which meet at E. AF is joined.

Now, ∠FAB=90

6.. Draw AG bisector of ∠EAD, AG joined.

∠GAD=15°

7.∠GAD+∠DAB=15+60=75°

∴∠GAB=75°

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