Question
Can we have two obtuse angles whose sum is:
$a.\ $A reflex angle? Why or why not?
$b.\ $A complete angle? Why or why not?
$a.\ $A reflex angle? Why or why not?
$b.\ $A complete angle? Why or why not?
✓
Answer
$a.\ $Yes, the sum of two obtuse angles is always greater than $180^\circ .$ Hence, the sum of two obtuse angles may be a reflex angle.
$b.\ $No, the sum of two obtuse angles cannot be $360^\circ .$ Because each obtuse angle lies between $90^\circ $ to $180^\circ .$ So, the sum of the two obtuse angles lies between $180^\circ $ to $360^\circ .$
$b.\ $No, the sum of two obtuse angles cannot be $360^\circ .$ Because each obtuse angle lies between $90^\circ $ to $180^\circ .$ So, the sum of the two obtuse angles lies between $180^\circ $ to $360^\circ .$
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