Question

Find the angle which exceeds its complement by 20°. Also explain me that how will you construct the equation to find the angle.

Answer 1

let first angle be as x
let second angle be as x+20
according to question,
x+(x=20)=90
2x +20=90
2x = 70
x = 35

2nd angle=x+20
=35+20
=55 degree

Answer 2

Answer:

The angle which exceeds its complement by 20° is 55°

Step-by-step explanation:

Let teh angle be x

Complementary angles : A pair of angle whose sum is 90° is called complementary angles.

So, Complement of x = 90-x

Now we are given that the angle exceeds its complement by 20°

So, $x-(90-x)=20$

$x-90+x=20$

$2x-90=20$

$2x=110$

$x=55$

Hence the angle which exceeds its complement by 20° is 55°