The difference in the measure of two complementary angle is 12 degree

1.	The difference in the measure of two complementary angle is 12 degree . Find the measure of the angle
Answer» ☆ Answer ☆ The TWO complementary angles are 39° and 51°. ☆ Explanation ☆ Given The difference in the measure of two complementary angle is 12 degree. To Find The measure of the angle. Solution We know that Complementary angle = 180°. Let the two complementary angles be x° and y° RESPECTIVELY . According to the question, x° + y° = 90° --------- Equation (1) x° - y° = 12° ------------ Equation (2) adding EQUATIONS (1 ) and ( 2)....... ( x° + y°) + ( x° - y° ) = 90° + 12° => x° + x° + y° - y° = 102° => 2x° = 102° => x° = 51° ¤ Substituting the value of x in equation ( 1 ) x° + y° = 90° => 51° + y° = 90 ° => y° = 90° - 51° => y° = 39° Therefore, The two complementary angles are 39° and 51°.

The difference in the measure of two complementary angle is 12 degree . Find the measure of the angle

Answer»

The TWO complementary angles are 39° and 51°.

The difference in the measure of two complementary angle is 12 degree.

The measure of the angle.

We know that Complementary angle = 180°.

Let the two complementary angles be x° and y° RESPECTIVELY .

According to the question,

x° + y° = 90° --------- Equation (1)

x° - y° = 12° ------------ Equation (2)

adding EQUATIONS (1 ) and ( 2).......

( x° + y°) + ( x° - y° ) = 90° + 12°

=> x° + x° + y° - y° = 102°

=> 2x° = 102°

=> x° = 51°

¤ Substituting the value of x in equation ( 1 )

x° + y° = 90°

=> 51° + y° = 90 °

=> y° = 90° - 51°

=> y° = 39°

Therefore,

The two complementary angles are 39° and 51°.