Yes.
If an angle of x degree is obtuse then x > 180 deg
Suppose x = 180 + y where y is positive.
Then x can be divided into two angles of 90+y/2 degrees each
y>0 so 90 + y/2 > 90
and so the two angles are obtuse.
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Acute, right angle, obtuse and reflex angles.
Acute, obtuse, right, straight, reflex
Acute, obtuse, reflex.
intersecting, parallel, acute, right ,obtuse, straight, perpendicular, reflex
An angle in a hexagon can have any value at all. It can be acute, a right angle, an obtuse angle or even a reflex angle.