Question

The complementary angle is 10°more than the other. Find the value of the angles.​

Answer 1

Answer:

Let x be the one angle.

So, the complement of x=90

o

−x.

Given, two complementary angles differ by 20

o

.

⇒ x+(x−10

o

)=90

o

⇒ 2x−10

o

=90

o

⇒ 2x=100

o

⇒ x=50

o

.

Then, the angles are x=50

o

and other angle is x−10

o

=50

o

−10

o

=40

o

Answer 2

Answer:

One angle is 40 degree and another is 50 degree.

Step-by-step explanation:

Let the one angle be x and another be x+10.

x+x+10=90( Being complementary angle)

2x+10=90

2x=90-10

2x=80

x=80/2

x=40

One angle=40

Putting the value of x, we get

Another angle=x+10

                         =40+10

                        =50