Can we have two obtuse angles whose sum is(a) a reflex angle? Why or w

1.	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?
Answer» (a) Yes, ∵ the sum of two obtuse angles is always greater than 180°. E.g., 135° and 100° are two obtuse angles and their sum = 135° + 100° = 235°, which is greater than 180°. (b) No, ∵ the sum of two obtuse angles is greater than 180° but less than 360°. In the above example, we can see that the sum of 135° and 100° i.e., 235° is greater than 180° but less than 360°.

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?

Answer»

(a) Yes,

∵ the sum of two obtuse angles is always greater than 180°.

E.g., 135° and 100° are two obtuse angles and their sum = 135° + 100° = 235°, which is greater than 180°.

(b) No,

∵ the sum of two obtuse angles is greater than 180° but less than 360°.

In the above example, we can see that the sum of 135° and 100° i.e., 235° is greater than 180° but less than 360°.