Respuesta :

COMPLEMENTARY ANGLES ARE 2 ANGLES WHOSE SUM IS EQUAL TO 90.

LET X = FIRST ANGLE, SO THE SECOND ANGLE WOULD BE X + 82 SINCE IT IS 82 MORE THAN THE FIRST ANGLE.

NOW ADD THE TWO ANGLES TOGETHER AND THAT ANSWER IS 90.

THE EQUATION WOULD BE X + X + 82 = 90

2X + 82 = 90

SUBTRACT 82 FROM BOTH SIDES -82 -82

2X = 8

DIVIDE BOTH SIDES BY 2 AND GET X = 4

THIS TELLS US THAT THE FIRST ANGLE IS 4

SECOND ANGLE IS 82 + X. REPLACING X WITH 4 WE GET 82 + 4 = 86.

CHECK

FIRST ANGLE = 4 PLUS SECOND SNGLE = 86. ADDED TOGETHER GIVES 90. THIS MEANS THE ANGLES ARE COMPLEMENTARY

The measure of each angle is 86°.

What are complementary angles?

Two angles are said to be complementary if their sum is equal to 90°.

Calculation:

Let, the first angle is x

So, the second angle will be x + 82

Now, x + (x+82) = 90°

2x = 90 - 82

2x = 8

x   = 4

Thus, the first angle is 4

Now, 82 + 4 = 86.

Therefore, the first angle is 82°

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