Question

The difference between two complementary angles is 40 degrees. What are the two angles?​

Answer 1

Answer:

let the two complimentary angles be x, y

x+y = 90° (definition of complimentary angles)

x-y = 40° (given)

if we the two equations

x+y+x-y  = 90°+40°

2x = 130°

x = 130°/2 = 65°

using x + y = 90°

y = 90° - x = 90° - 65° = 25°

The angles are

x = 65° and y = 25°

Answer 2

$\mathfrak{\huge{\underline{Answer:}}}$

We know that 2 angles are called as complementary angle if their sum is 90°

Let one angle be x and other be y

x + y = 90° _____eq.1

Here it's given that difference between them is 40°

x + y + x - y = 90° + 40°

2 x = 130°

x = 130°/ 2

x = 65°

We have got the measure of each angle that's 65° Let's find other

Substituting x = 65° in eq. 1 we get :

x + y = 90°

65° + y = 90°

y = 90° - 65°

y = 25°

Thus the angles are 65° and 25°