Can we have two obtuse angles whose sum is

a) A reflex angle? Why or Why not? (1 mark)

b) A complete angle? Why or Why not? (1 mark)

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Solution

Solution:
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. (1 mark)

b) No, the sum of two obtuse angles cannot be $360^{\circ}$ . Because each obtuse angle lies between $90^{\circ}$ and $180^{\circ}$ . So, the sum of the two obtuse angles lies between $180^{\circ}$ to $360^{\circ}$ . (1 mark)

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Question 75

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?

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? (5 x 0.5 marks = 2.5 marks)

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?

110^{\circ}, 80^{\circ}, 70^{\circ} a n d 95^{\circ}

110^{\circ}, 80^{\circ}, 70^{\circ} a n d 95^{\circ}

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