if the angles (2a-10)° and (a-11)° are complementary what is the value of “a”
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Given :-
Two complementary angles are ( 2a - 10°) and ( a - 11° )
To Find :-
The value of a = ?
Solution :-
As we know , That the sum of complementary angles is 90°
Therefore,
( 2a - 10° ) + ( a - 11° ) = 90°
2a - 10° + a - 11° = 90°
3a - 21° = 90°
3a = 90° + 21°
3a = 111°
a = 111/3
a = 112/ 3
a = 37°
Hence, the value of a is 37°
Therefore,
Two complementary angles are
( 2a - 10°)
= 2 * 37° - 10°
= 74° - 10°
= 64°
( a - 11° )
=37° - 11°
=26° .
Verification :-
• 64° + 26° = 90°
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