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 the second angle? (1 point)

Question

16
52
○ 120
128

Answer 1

Since the two angles are adjacent and on a straight line, their measures add up to 180 degrees.

So, we can set up the equation:

(5x-28) + (8x) = 180

Combining like terms:

13x - 28 = 180

Adding 28 to both sides:

13x = 208

Dividing both sides by 13:

x = 16

Therefore, the measure of the second angle is 8x = 8(16) = 128 degrees.

The answer is 128.

Answer 2

For two adjacent angles with measures x and (x+30) that make up a 90° angle, what is x? (1 point)
20
15
○ 30
60

Answer 3

Since the two angles are adjacent and make up a 90° angle, their measures add up to 90 degrees.

So, we can set up the equation:

x + (x+30) = 90

Combining like terms:

2x + 30 = 90

Subtracting 30 from both sides:

2x = 60

Dividing both sides by 2:

x = 30

Therefore, x is equal to 30 degrees.

The answer is 30.

Answer 4

A right angle is formed by two adjacent angles with measures of (x) and (x+30). What are the two angle measures? (1 point)
30 and 60°
70 and 25°
60° and 90°
75 and 105°

Answer 5

Since a right angle measures exactly 90 degrees, we can write the following equation:

x + (x+30) = 90

Simplifying:

2x + 30 = 90

Subtracting 30 from both sides:

2x = 60

Dividing both sides by 2:

x = 30

So, one of the angle measures is x = 30°.

To find the other angle measure, we can plug the value of x into the expression x + 30:

30 + 30 = 60

Therefore, the two angle measures are 30° and 60°.

The answer is 30 and 60°.

Answer 6

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 (x6). What are the measures of the two angles that make up the straight line? (1 point)
186 and 88
129 and 51
121 and 59°
125 and 55

Answer 7

Since the two angles are adjacent and make up a 180° angle, their measures add up to 180 degrees.

So, we can set up the equation:

(2x + 3) + (x + 6) = 180

Combining like terms:

3x + 9 = 180

Subtracting 9 from both sides:

3x = 171

Dividing both sides by 3:

x = 57

Therefore, one of the angles has a measure of (2x + 3) = (2*57 + 3) = 117°

To find the measure of the other angle, we can plug the value of x into the expression (x + 6):
57 + 6 = 63°

So the measures of the two angles are 117° and 63°.

The answer is 117 and 63°.

Answer 8

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 (x6). What are the measures of the two angles that make up the straight line? (1 point)
a. 186 and 88
b. 129 and 51
c. 121 and 59°
d. 125 and 55

Answer 9

To solve for the measures of the two angles, we can set up the equation:

(2x + 3) + (x + 6) = 180

Combining like terms:

3x + 9 = 180

Subtracting 9 from both sides:

3x = 171

Dividing both sides by 3:

x = 57

Now we can substitute this value back into our expressions to find the measures of the angles:

First angle: (2x + 3) = (2*57 + 3) = 117°
Second angle: (x + 6) = (57 + 6) = 63°

So, the measures of the two angles that make up the straight line are 117° and 63°.

The answer is c. 121 and 59°.

Answer 10

An obtuse angle is formed by two adjacent angles with measures (x-5) and (3x). If the resulting angle measure is 107, what is the angle measure of each of the two unknown angles? Round to the nearest whole number. (1 point)
a. 32 and 75
b. 23 and 84°
c. 28 and 79
d. 20 and 87

Answer 11

Since an obtuse angle measures more than 90 degrees and less than 180 degrees, we can set up the equation:

(x-5) + (3x) = 107

Combining like terms:

4x - 5 = 107

Adding 5 to both sides:

4x = 112

Dividing both sides by 4:

x = 28

Now we can substitute this value back into our expressions to find the measures of the angles:

First angle: (x-5) = (28-5) = 23°
Second angle: (3x) = (3*28) = 84°

So, the angle measures of the two unknown angles are 23° and 84°.

The answer is b. 23 and 84°.