Question

two complementary angles are (x + 4 ) and ( 2x - 7 ) . find the value of x

Answer 1

What are complementary angles?
The pair of angles that sums to 90° i.e. their sum is 90° is called complementary angles.

Hence,

( x + 4 ) + ( 2x - 7 ) = 90°
=> x + 4 + 2x - 7 = 90°
=> 3x - 3 = 90°
=> 3x = 90° + 3°
=> 3x = 93°
=> x = 93 / 3
=> x = 31 °

Hence,

The value of x is 31 °.

If you want to check the result, then substitute the value of x in the given equation.

Answer 2

as we know , complementary angle measures 90°
x+4+2x-7=90
3x-3=90
3x=93
x=31