Question

3r - 20°
Find the magnitude of an angle, which is
an angle is equal to its complement. Find its measure.
2
of its supplement.
3.
(ii)
of its complement.
4​

Answer 1

Answer:

Let x and y be the two angles

They are supplement means x+y=180

∘

Now one angle is two third of another which

means x=2y/3

putting in to equation

3

2y

+y=180

∘

⇒

3

2y+3y

=180

∘

⇒5y=180×3

⇒y=

5

180×3

⇒y=108

y=108

x=

3

2y

=

3

2⋅108

=72

∴x=72 y= 108