find the measures of the complementary angles of the following angle
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2
Answer:
50+x
Step-by-step explanation:
complementary angles sum is 90 deg
90-(40-x)
90-40+x
50+x
Answered by
1
COMPLEMENTARY ANGLES
Complementary angles are those pair of angles which when their magnitude is added then the sum will be 90°.
SUPPLEMENTARY ANGLES
Complementary angles are those pair of angles which when their magnitude is added then the sum will be 180°.
SOLUTION ::
Here, one angle is given and we have to find its complement.
Let the other angle be ' y '.
=> (40 - x)° + y° = 90°
=> y = 90° - (40 - x)°
=> y = 90° - 40° + x°
=> y = 50° + x°
=> y = (50 + x)°
Therefore,
- First angle = (40 - x)°
- Second angle (50 + x)°
CHECKING ::
=> First angle + Second angle = 90°
=> (40 + x)° + (50 + x)° = 90°
=> 40° + 50° - x + x = 90°
=> 90° = 90°
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