Question

Which angle is 10 more than the complement?

Answer 1

Hi Mate !!



Let the angle be x
and it's complement be y !!


• As given angles are complementary angles.

So, their sum will be equal to 90

x + y = 90

x = 90 - y ...... ( i )

• The angle is 10 more than the complement

x = 10 + y .... ( ii )


Equating ( i ) and ( ii )


90 - y = 10 + y

90 - 10 = y + y

80 = 2y

80/2 = y

40 = y

Putting value in ( ii )

x = 10 + y

x = 10 + 40

x = 50

So, the angle measure 50°

Answer 2

heya dear

here your answer goes like this

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complement angle means sum of any 2 angles should be 90

so now, let the angles to be x,y

and according to the question, let y = 10+x ---> 1

also we know that x + y = 90 -----> 2

so now substitute eq 1 in eq 2

x + 10+x = 90

2x + 10 = 90

2x = 90-10

2x = 80

x = 80/2

x = 40

there fore, here one angle is x = 40
another angle = y = x+ 10 = ( 40+10) = 50

so the angles are , 40,,50

thanks i hope it helped you