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?

Answer 1

(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°.