Question

5) Answer the given questions.
(i) Can a pair of supplementary angles becomplementary?
(ii) Are a pair of adjacent angles alwayssupplementary Explain your answerwith an illustration.
(iii) Can a pair of supplementary angles form a linear pair?
(iv) Can a pair of complementary anglesform a linear pair?
(v) Can the pair of angles forming
(a) supplementary angles be equal?
(b) complementary angles be equal?
What is the measure of each in such
cases?
(vi) If one angle of a linear pair is obtuse, what type of angle is the other?
(vii) If two angles are complementary, can one of them be obtuse? Why?​

Answer 1

Answer:

i) No

ii) No, angles that share a common arm are said to be adjacent. If they add upto 180°, they are said to be supplementary. All adjacent angles need not be supplementary.

iii) Yes

iv) No

v) a) Yes

b) Yes

90° in the case of supplementary angles, and 45° in the case of complementary angles.

vi) Acute

vii) No, because complementary angles should add upto 90° in total. And each angle should be less than 90°. So they cannot be obtuse as an obtuse angle is greater than 90°.