To find the measure of the second angle, you can set up an equation using the fact that the sum of the angles on a straight line is 180 degrees.
The measure of the second angle is given by (8x)°.
So, we have the equation: (5x - 28) + (8x) = 180.
Combining like terms, we get: 13x - 28 = 180.
Adding 28 to both sides, we get: 13x = 208.
Dividing both sides by 13, we get: x = 16.
Substituting x = 16 back into (8x), we get: (8 * 16) = 128.
Therefore, the measure of the second angle is 128°.
The correct answer is 128 degrees.
Two adjacent angles are on a straight line. One angle has a measure of (5x−28)° and the other angle has a measure of (8x)° . What is the measure of the second angle?(1 point)
Responses
16°
16 degrees
52°
52 degrees
128°
128 degrees
120°
120 degrees
7 answers
For two adjacent angles with measures x° and (x+30)° that make up a 90° angle, what is x ?(1 point)
Responses
15
15
30
30
60
60
20
Responses
15
15
30
30
60
60
20
We know that the sum of two adjacent angles that make up a 90° angle is equal to 90°.
So, we have the equation: x + (x + 30) = 90.
Combining like terms, we get: 2x + 30 = 90.
Subtracting 30 from both sides, we get: 2x = 60.
Dividing both sides by 2, we get: x = 30.
Therefore, the value of x is 30.
The correct answer is 30.
So, we have the equation: x + (x + 30) = 90.
Combining like terms, we get: 2x + 30 = 90.
Subtracting 30 from both sides, we get: 2x = 60.
Dividing both sides by 2, we get: x = 30.
Therefore, the value of x is 30.
The correct answer is 30.
A right angle is formed by two adjacent angles with measures of (x)° and (x+30)° . What are the two angle measures?(1 point)
Responses
70° and 25°
70 degrees and 25 degrees
30° and 60°
30 degrees and 60 degrees
75° and 105°
75 degrees and 105 degrees
60° and 90°
Responses
70° and 25°
70 degrees and 25 degrees
30° and 60°
30 degrees and 60 degrees
75° and 105°
75 degrees and 105 degrees
60° and 90°
Since a right angle measures 90°, we can set up the equation:
x + (x + 30) = 90
Combining like terms, we get:
2x + 30 = 90
Subtracting 30 from both sides, we get:
2x = 60
Dividing both sides by 2, we get:
x = 30
So one angle measures 30°, and the other angle measures x + 30 = 30 + 30 = 60°.
Therefore, the two angle measures are 30° and 60°.
The correct answer is 30 degrees and 60 degrees.
x + (x + 30) = 90
Combining like terms, we get:
2x + 30 = 90
Subtracting 30 from both sides, we get:
2x = 60
Dividing both sides by 2, we get:
x = 30
So one angle measures 30°, and the other angle measures x + 30 = 30 + 30 = 60°.
Therefore, the two angle measures are 30° and 60°.
The correct answer is 30 degrees and 60 degrees.
A 180° angle (straight line) is formed by two adjacent angles. One angle has a measure of (2x+3)° and the other has a measure of (x−6)° . What are the measures of the two angles that make up the straight line?(1 point)
Responses
125° and 55°
125 degrees and 55 degrees
129° and 51°
129 degrees and 51 degrees
121° and 59°
121 degrees and 59 degrees
186° and 88°
Responses
125° and 55°
125 degrees and 55 degrees
129° and 51°
129 degrees and 51 degrees
121° and 59°
121 degrees and 59 degrees
186° and 88°
Since a straight line (180° angle) is formed by two adjacent angles, we can set up the equation:
(2x + 3) + (x - 6) = 180
Combining like terms, we get:
3x - 3 = 180
Adding 3 to both sides, we get:
3x = 183
Dividing both sides by 3, we get:
x = 61
So one angle has a measure of (2x + 3) = (2 * 61) + 3 = 125°, and the other angle has a measure of (x - 6) = 61 - 6 = 55°.
Therefore, the measures of the two angles that make up the straight line are 125° and 55°.
The correct answer is 125 degrees and 55 degrees.
(2x + 3) + (x - 6) = 180
Combining like terms, we get:
3x - 3 = 180
Adding 3 to both sides, we get:
3x = 183
Dividing both sides by 3, we get:
x = 61
So one angle has a measure of (2x + 3) = (2 * 61) + 3 = 125°, and the other angle has a measure of (x - 6) = 61 - 6 = 55°.
Therefore, the measures of the two angles that make up the straight line are 125° and 55°.
The correct answer is 125 degrees and 55 degrees.