Question

The difference between the sum of 2 complementary angles is 16 degree. Find the measures of each angle with steps.
(Complementary angles means 2 angles whose sum is 90 degree)

Plzz
I need the answer

Answer 1

Heya user !!!

Here's the answer you are looking for

Let one angle be x°.

Since the difference between the two angles is 16, the other angle must be either 16° more or less than x.

Let's take the other angle is (x - 16)°


As they are complementary, their sum is 90

So,

x + (x - 16) = 90

2x - 16 = 90

2x = 90 + 16 = 106

x = 106/2 = 53°

(x - 16) = 53 - 16 = 37°


Therefore, the two angles are 53° & 37°.



★★ HOPE THAT HELPS ☺️ ★★

Answer 2

heya!!

question -

The difference between the sum of 2 complementary angles is 16 degree. Find the measures of each angle with steps.

solution -

Let one of the angles be x

Then the other angle would be x - 16

•°• Complementary angles => x + x = 90°

So, x + ( x - 16 ) = 90

2x = 90 + 16 = 106

x = 106 / 2 = 53°

( x - 16 ) = 53 - 16 = 37°

Hence, the measures of the two angles are 37° and 53°

#hope it helps..!!