Question

The difference of two complementary angles is 30°. Then, the angles are

a) 60°, 30°

b) 70°, 40°

c) 20°,50°

d) 105°,75°

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Answer 1

Answer:

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Step-by-step explanation:

Option (a) is correct.

Let the x and y are the angles

x+y=90

o

....(1) [ Complementary angle]

x−y=30

o

....(2) [ given ]

By addition of both equations, we get

⇒2x=120

o

⇒x=

2

120

o

⇒x=60

o

Putting the value of x in equation 1, we get

⇒60+y=90

o

⇒y=90

o

−60

o

⇒y=30

o

Therefore, the required angles are 30 and 60 degrees.

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Answer 2

Option:a,b,d

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