Question

the difference between two angles is 20 degree . If these angles are complementary , find the angle

Answer 1

Answer:

Angles are 55 and 35 degree.

Step-by-step explanation:

Let greater one be x and smaller one be y.

➡️ x - y = 20

➡️ x + y = 90

Adding both these equations :

x - y + x + y = 110

2x = 110

x = 55 degree

➡️ x - y = 20

55 - y = 20

y = 35 degree

Answer 2

Answer:

Required angles are $55$ and $35$ degrees.

Step-by-step explanation:

It is given that the difference between two angles is $20$ degree.

Also, the angles are complementary.

Complementary angles are those angles whose sum is $90$ degrees.

We can make here two equations in two variables, and solving it we can find out the value of angles.

Let first angle $=x$

Let second angle $=y$

As the difference is $20$ degrees.

$x-y=20$

Both angles are complementary

$x+y=90$

Adding both equations, we get

$2x=110$

Solving $x=55$ degrees

Using this value in fist equation

$55-y=20$

$y=35$

The measure of angles are $55,35$ degrees.

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