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
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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