Question

two complementary angles differ by 10 degree the larger angle is

Answer 1

Hello Mate!

Let one angle be x

Then other angle will be = 90° - x

Difference of both compliments = 10°

Equation :

x - ( 90° - x ) = 10°

x - 90° + x = 10°

2x = 10° + 90°

x =100° / 2 or 50°

Then other angle will be = 90° - 50° or 40°

As, 50° > 40° therefore 50° is largest angle.

Hence answer is 50°

Have great future ahead!

Answer 2

SALUT AMIS!!

Let X be the smaller angle.
Larger angle is x + 10
Adding both of them gives a right angle as they are complementary angles.

X + ( X + 10 ) = 90°

2X + 10 = 90°

2X =90° - 10

2X = 80°

X = 80° /2

X = 40°


Smaller angle = 40°

Larger angle = 40° + 10 = 50°


40° + 50° = 90° [ Complementary angle ]


HOPE IT HELPS...!!