The simplified equation corresponding to the measures of the angles is:
2x° + (5x - 12)° = 180°
(1 point)
Responses
(7x−22)°=90°
(3x−22)°=90°
(7x−22)°=180°
(3x−22)°=180°
the angles are 2x degrees and
(5x - 12) degrees
2x° + (5x - 12)° = 180°
(3x−22)° = 180°
(1 point)
Responses
10
50
13
65
the numbers are 5x degrees and
25 degrees
5x + 25 = 180
Now, we can solve for x:
5x = 180 - 25 = 155
Dividing both sides by 5:
x = 155 / 5 = 31
Therefore, the value of x is 31.
1) (7x - 22)° = 90°
To solve for x, we can set up the equation:
7x - 22 = 90
Adding 22 to both sides:
7x = 90 + 22 = 112
Dividing both sides by 7:
x = 112 / 7 = 16
2) (3x - 22)° = 90°
To solve for x, we can set up the equation:
3x - 22 = 90
Adding 22 to both sides:
3x = 90 + 22 = 112
Dividing both sides by 3:
x = 112 / 3 ≈ 37.33
3) (7x - 22)° = 180°
This equation cannot be solved for x as there is no variable on one side.
4) (3x - 22)° = 180°
This equation cannot be solved for x as there is no variable on one side.
From the given answer choices, the value of x is not provided.
50
Responses
21° and 69°
30° and 60°
33° and 57°
19° and 71°
3x + (2x-5) = 90
Combining like terms:
5x - 5 = 90
Adding 5 to both sides:
5x = 95
Dividing both sides by 5:
x = 19
Now that we have found the value of x, we can substitute it back into the expressions to find the angle measures:
3x° = 3(19)° = 57°
(2x-5)° = 2(19)-5 = 38-5 = 33°
Therefore, the angle measures of the complementary angles are 57° and 33°. In terms of the given answer choices, the correct response would be:
33° and 57°