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## Answers

complementary angle of x is (90-x)

So x = 2(90-x)

⇒ x = 2×90 - 2×x

⇒ x = 180 - 2x

⇒ x + 2x = 180

⇒ 3x = 180

⇒ x = 180/3

⇒ x = 60°

The angle is 60°.

Check:

complementary angle of 60° = 90-60 = 30°

And 60° is twice is 30°. So Answer is correct.

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Let the another angle be x

its complement is 2x

complementary angle= two angles whose sum is 90`

a/q 2x+x=90

=> 3x= 90

x= 90/3

∴x= 30

as first angle is 30

so second angle is 2 x 30= 60

to check, 60+30= 90

and 60 is twice its complement i.e 30

its complement is 2x

complementary angle= two angles whose sum is 90`

a/q 2x+x=90

=> 3x= 90

x= 90/3

∴x= 30

as first angle is 30

so second angle is 2 x 30= 60

to check, 60+30= 90

and 60 is twice its complement i.e 30