Question
Draw an obtuse angle. Bisect it. Measure each of the angles so obtained.
✓
Answer
Obtuse angles are those angles which are greater than 90° but less than 180°.
Draw an obtuse angle $\angle\text{BAC}.$
With an appropriate radius and centre at A, draw an arc such that it intersects AB and AC at P and Q, respectively.
With centre P and radius more than half of PQ, draw an ARC.
With the same radius and centre at Q, draw another arc intersecting the previous arc at R.
Join A and R and extend it to X.
The ray AX is the required bisector of $\angle\text{BAC}.$
If we measure $\angle\text{BAR}$ and $\angle\text{CAR},$
we have $\angle\text{BAR}=\angle\text{CAR}=65^{\circ}$
Draw an obtuse angle $\angle\text{BAC}.$
With an appropriate radius and centre at A, draw an arc such that it intersects AB and AC at P and Q, respectively.
With centre P and radius more than half of PQ, draw an ARC.
With the same radius and centre at Q, draw another arc intersecting the previous arc at R.
Join A and R and extend it to X.
The ray AX is the required bisector of $\angle\text{BAC}.$
If we measure $\angle\text{BAR}$ and $\angle\text{CAR},$
we have $\angle\text{BAR}=\angle\text{CAR}=65^{\circ}$
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