Question

two complementary angles differ by 36° find the angles

Answer 1

let the complementary angles be x & y
x+y=90......i

A.T.Q
x-y=36.......ii

add i and ii
x+y+x-y=90+36
2x=126
x=63

putting in eq i
x+y=90
63+y=90
y=90-63.
y=27

Answer 2

Hey dear!!
________________________________

Let the first unknown angle be x.

Since, the two angles differ by 36° the other angle would be (x + 36).

As in the question, they are two complementary angles. Hence, their sum would be 90°.

So the equation would be,

x + (x + 36) = 90°
2x + 36 = 90°
2x = 90 - 36
2x = 54
x = 54/2
x = 27

Therefore, the first angle measures 27° and the second angle measures 27° + 36° = 63°.

Recheck:

63° + 27° = 90° (Complementary angles)

___________________________________

Hope helped!!