Adjacent Complementary 90-degree angle with E as a common ray point, and the letters DEFG. The smaller angle labeled as (2x) degrees. The larger angle labeled as (5x-22) degrees.
What is the simplified equation corresponding to the measures of the angles?
(1 point)
Responses
(7x−22)°=180°
(7x−22)°=90°
(3x−22)°=90°
(3x−22)°=180°
The correct answer is:
(2x)° + (5x-22)° = 90°
This equation represents the sum of the two adjacent angles being equal to 90 degrees.
no the simplified answer not the expression
Apologies for the misunderstanding. The correct simplified equation, corresponding to the measures of the angles, is:
7x - 22 = 90°
show your work
To find the simplified equation, we need to set up an equation based on the given information that represents the relationship between the two angles.
We know that adjacent complementary angles add up to 90 degrees.
The smaller angle is labeled as (2x) degrees.
The larger angle is labeled as (5x-22) degrees.
Therefore, we can set up the equation:
(2x) + (5x-22) = 90
Simplifying the equation:
7x - 22 = 90
This is the simplified equation corresponding to the measures of the angles.