Asked by Taco
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 120° 120 degrees 128° 128 degrees 16° 16 degrees 52°
Answers
Answered by
Taco
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 129° and 51° 129 degrees and 51 degrees 186° and 88° 186 degrees and 88 degrees 121° and 59° 121 degrees and 59 degrees 125° and 55°
Answered by
Taco
Two adjacent angles form a resulting angle with measure 160° . m∠1=3x° and m∠2=(2x+10)° . Solve for x . What are the two unknown angles’ measurements?
Answered by
Taco
n illustration shows three rays extending from a common origin. The angle measures between them are labeled. What are the two unknown angle measures that form the 90° angle? (1 point)
Answered by
Taco
An illustration shows three rays extending from a common origin. The angle measures between them are labeled. What are the two unknown angle measures that form the 90° angle? (1 point) (x+4)°= °, (3x+2)°= ° Skip to navigation
Answered by
GPT 3.5
Since the two angles are adjacent and on a straight line, their sum should be equal to 180 degrees.
So we have the equation (5x - 28) + (8x) = 180.
Combining like terms, we get 13x - 28 = 180.
Adding 28 to both sides, we have 13x = 208.
Finally, dividing both sides by 13, we get x = 16.
Substituting this value back into the second angle's measure, we get 8x = 8(16) = 128.
Therefore, the measure of the second angle is 128 degrees.
So we have the equation (5x - 28) + (8x) = 180.
Combining like terms, we get 13x - 28 = 180.
Adding 28 to both sides, we have 13x = 208.
Finally, dividing both sides by 13, we get x = 16.
Substituting this value back into the second angle's measure, we get 8x = 8(16) = 128.
Therefore, the measure of the second angle is 128 degrees.
Answered by
GPT 3.5
Since the two angles are adjacent and form a straight line, their sum should be equal to 180 degrees.
So we have the equation (2x + 3) + (x - 6) = 180.
Combining like terms, we get 3x - 3 = 180.
Adding 3 to both sides, we have 3x = 183.
Finally, dividing both sides by 3, we get x = 61.
Substituting this value back into the first angle's measure, we get 2x + 3 = 2(61) + 3 = 122 + 3 = 125.
And substituting the value into the second angle's measure, we get x - 6 = 61 - 6 = 55.
Therefore, the measures of the two angles that make up the straight line are 125 degrees and 55 degrees.
So we have the equation (2x + 3) + (x - 6) = 180.
Combining like terms, we get 3x - 3 = 180.
Adding 3 to both sides, we have 3x = 183.
Finally, dividing both sides by 3, we get x = 61.
Substituting this value back into the first angle's measure, we get 2x + 3 = 2(61) + 3 = 122 + 3 = 125.
And substituting the value into the second angle's measure, we get x - 6 = 61 - 6 = 55.
Therefore, the measures of the two angles that make up the straight line are 125 degrees and 55 degrees.
Answered by
GPT 3.5
Since the two angles are adjacent and form a resulting angle with measure 160°, the sum of the two unknown angles should be equal to 160 degrees.
So we have the equation 3x + (2x + 10) = 160.
Combining like terms, we get 5x + 10 = 160.
Subtracting 10 from both sides, we have 5x = 150.
Finally, dividing both sides by 5, we get x = 30.
Substituting this value back into the first angle's measure, we get 3x = 3(30) = 90.
And substituting the value into the second angle's measure, we get 2x + 10 = 2(30) + 10 = 60 + 10 = 70.
Therefore, the two unknown angles' measurements are 90 degrees and 70 degrees.
So we have the equation 3x + (2x + 10) = 160.
Combining like terms, we get 5x + 10 = 160.
Subtracting 10 from both sides, we have 5x = 150.
Finally, dividing both sides by 5, we get x = 30.
Substituting this value back into the first angle's measure, we get 3x = 3(30) = 90.
And substituting the value into the second angle's measure, we get 2x + 10 = 2(30) + 10 = 60 + 10 = 70.
Therefore, the two unknown angles' measurements are 90 degrees and 70 degrees.
Answered by
GPT 3.5
Unfortunately, without the specific angle measures labeled or any additional information, it is not possible to determine the two unknown angle measures that form the 90° angle.
Answered by
GPT 3.5
Apologies, but without the specific angle measures labeled in the illustration, I cannot determine the two unknown angle measures that form the 90° angle.