In the given figure,

a) Name any four angles that appear to be acute angles.

b) Name any two angles that appear to be obtuse angles.

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Solution

a) The four angles that appear to be acute angles are $∠ A E B, ∠ A D E, ∠ B A E a n d ∠ B C E$ .

b) $∠ B C D a n d ∠ B A D$ are angles that appear to be obtuse angles (answer may vary).

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Question 59

In the given figure,

a) Name any four angles that appear to be acute angles.

b) Name any two angles that appear to be obtuse angles.

Answer the following questions and justify.
(i) Can two acute angles he complement to each other?
(ii) Can two obtuse angles be complement to each other?
(iii) Can two right angles he complement to each other?
(iv) Can two acute angles be supplementary?
(v) Can two obtuse angles be supplementary?
(vi) Can two right angles be supplementary?
(vii) Can two adjacent angles be supplementary?
(viii) Can two adjacent angles be complementary?
(ix) Can two obtuse angles be adjacent angles?
(x) Can an acute angle be adjacent to an obtuse angle?
(xi) Can two acute angles form a linear pair?
(xii) can two obtuse angles form a linear pair?
(xiii) Can two right angles form a linear pair?

Q. Sum of any two acute angles can't be a _____ angle.

Q. Can all the four angles of a quadrilateral be obtuse (or) acute angles? For reason for your answer.

Suppose two adjacent angles are supplementary. Show that if one of them is an obtuse angle, then the other angle must be acute.

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In the given figure, a) Name any four angles that appear to be acute angles. b) Name any two angles that appear to be obtuse angles.

a) The four angles that appear to be acute angles are ∠ AEB, ∠ ADE, ∠ BAE and ∠ BCE. b) ∠ BCD and ∠ BAD are angles that appear to be obtuse angles (answer may vary).

In the given figure,

a) Name any four angles that appear to be acute angles.

b) Name any two angles that appear to be obtuse angles.

a) The four angles that appear to be acute angles are $∠ A E B, ∠ A D E, ∠ B A E a n d ∠ B C E$ .

b) $∠ B C D a n d ∠ B A D$ are angles that appear to be obtuse angles (answer may vary).