Question

the difference in the measures of two complementry angles is 24 find the angles​

Answer 1

Step-by-step explanation:

let one angle be x

then other angle is 90 - x

now, 90 - x - x = 24

90 - 24 = 2x

so, x = 33°

Answer 2

Let the two angles be x and y respectively

Given, x - y = 24° ----> (1)

We know that,

x + y = 90° ----> (2) {Angle sum property}

Subtracting (1) from (2), we get

=> -2y = -66

=> y = 33°

From (1) we have:

x - y = 24°

=> x - 33° = 24°

=> x = 33° + 24°

=> x = 57°

So, the angles are:

x = 57°

y = 33°