Can we have two acute angles whose sum is(a) an acute angle? Why or wh

1.	Can we have two acute angles whose sum is(a) an acute angle? Why or why not?(b) a right angle? Why or why not?(c) an obtuse angle? Why or why not?(d) a straight angle? Why or why not?(e) a reflex angle? Why or why not?
Answer» (a) Yes, ∵ the sum of two acute angles can be the acute angle. E.g„ 30° and 40° are two acute angles and their sum = 30° + 40° = 70°, which is also an acute angle. (b) Yes, ∵ the sum of two acute angles can be a right angle. E.g., 30° and 60° are two acute angles and their sum = 30° + 60° = 90°, which is a right angle. (c) Yes, ∵ the sum of two acute angles can be an obtuse angle. E.g., 45° and 60° are two acute angles and their sum = 45° + 60° = 105°, which is an obtuse angle. (d) No, ∵ the sum of two acute angles is always less than 180°. (e) No, ∵ the sum of two acute angles is always less than 180°.

Can we have two acute angles whose sum is(a) an acute angle? Why or why not?(b) a right angle? Why or why not?(c) an obtuse angle? Why or why not?(d) a straight angle? Why or why not?(e) a reflex angle? Why or why not?

Answer»

(a) Yes,

∵ the sum of two acute angles can be the acute angle.

E.g„ 30° and 40° are two acute angles and their sum = 30° + 40° = 70°, which is also an acute angle.

(b) Yes,

∵ the sum of two acute angles can be a right angle.

E.g., 30° and 60° are two acute angles and their sum = 30° + 60° = 90°, which is a right angle.

(c) Yes,

∵ the sum of two acute angles can be an obtuse angle.

E.g., 45° and 60° are two acute angles and their sum = 45° + 60° = 105°, which is an obtuse angle.

(d) No,

∵ the sum of two acute angles is always less than 180°.

(e) No,

∵ the sum of two acute angles is always less than 180°.