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Question

Question 74

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?


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Solution

a) Yes, the sum of the two acute angles may be less than a right angle e.g. 30 and 45 are acute angles and their sum (i.e. 30+45=75 )is also an acute angle.

b) Yes, the sum of two acute angles may be equal to a right angle. e.g. 30+60=90

c) Yes, the sum of two acute angles may be more than a right angle, i.e. obtuse angle. e.g. 60 + 70 = 130

d) No, the sum of two acute angles is always less than a straight angle, i.e. 180.

e) No, the sum of two acute angles is always less than 180. So their sum cannot be a reflex angle.


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