Question

find the measures of the complementary angles of the following angle​

Answer 1

Answer:

50+x

Step-by-step explanation:

complementary angles sum is 90 deg

90-(40-x)

90-40+x

50+x

Answer 2

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°