Question

If x = 55°, then find the complementary, supplementary and conjugate angles of X​

Answer 1

Two angles that add up to 90° are called complementary angles.

so,x=55°

Let the complementary angle of x be 'y'.

x+y=90°

55°+y=90°

y=90°-55°

y=35°

complementary angle of x is 35°.

Two angles that add up to 180° are called supplementary angles.

so,x=55°

Let the supplementary angle of x be'p'

x+p=180°

55°+p=180°

p=180°-55°

p=125°

supplementary angle of x is 125°.

Angles that add up to 360° are called conjugate angles.

so,x=55°

Let the conjugate angle of x be 'q'

x+q=360°

55°+q=360°

q=360°-55°

q=305°

conjugate angle of x is 305°.

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