Two angles are complementary their difference is 26 degrees find the measures of each angles

Good morning ☕️

-by-step explanation:

Let x be the measure of angle 1

and y be the measure of angle 2

The Two angles are complementary

means

x + y = 90

their difference is 26 degrees

means

x - y = 26

x + y = 90 (1)

x - y = 26  (2)

(1) - (2) ⇒2y = 64 ⇒ y =32°

therefore x = y + 26 = 58°

:)

The angles are 32 and 58

Step-by-step explanation:

Let x be your first angle, and x+26 be your second angle (Difference of 26 so it will be 26 greater than the first angle) Now we have to set up an equation. Since the two angle are complementary, that means they add up to 90 so our equation will be the two angles added together will equal 90

x+x+26=90        now we simplifiy

2x+26=90        Now you subtract the 26 from both sides so that you can figure out x

2x=64           now divide both sides by 2 so you can find x alone

x=32

The first angle is 32 now you have to find the second angle by plugging it into the first equation  x+26

(32)+26

58