Question

The measure of the supplement of on
angle is 60° more than twice the
measure of the angle. Find the measure
of the angle.​

Answer 1

Step-by-step explanation:

Supplementary angles add up to

180

0

If the first angle is

x

and its supplement is

y

,

y

=

2

x

+

60

x

+

y

=

180

∴

x

+

(

2

x

+

60

)

=

180

3

x

=

120

∴

x

=

40

y

=

2

⋅

40

+

60

=

140

Answer 2

Answer:

Let the measure of angle = x°

So its supplement angle = 2x + 60°

According to question

x + 2x + 60° = 180°

3x + 60° = 180°

3x = 180° - 60°

3x = 120°

x = 120/3

x = 40°

So the measure of angle = 40°