If two adjacent angles with measures (x+18) and x are inside a 90° angle, what is the equation for the two adjacent angles?(1 point)
(x + °) + x =
(x + 18) + x = 90
Two adjacent angles are inside a 90° angle. One angle has a measure of (x+4)° and the other angle has a measure of (3x+2)° . What is x ?
A 90 degree angle is shown on a white background. A ray is splitting the 90 degree angle into two adjacent angles. The top angle is labeled as x plus 4. The bottom angle is labeled as 3 times x plus 2.
(1 point)
°
To find x, we can set up an equation using the given information:
(x + 4) + (3x + 2) = 90
Combining like terms:
4x + 6 = 90
Subtracting 6 from both sides:
4x = 84
Dividing both sides by 4:
x = 21
Therefore, x is equal to 21.
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?(1 point)
m∠1= °, m∠2= °
To solve for x, we can set up an equation using the given information:
m∠1 + m∠2 = 160
Substituting the angle measurements:
3x + (2x + 10) = 160
Combining like terms:
5x + 10 = 160
Subtracting 10 from both sides:
5x = 150
Dividing both sides by 5:
x = 30
To find the measurements of the two unknown angles:
m∠1 = 3x = 3(30) = 90°
m∠2 = 2x + 10 = 2(30) + 10 = 70°
Therefore, the measurements of the two unknown angles are m∠1 = 90° and m∠2 = 70°.
Solve Equations with Adjacent Angles Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
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Question
Use the image to answer the question.
An illustration shows three rays extending from a common origin. The angle measures between them are labeled.An illustration shows three rays extending from a common origin. The angles between them are labeled. The first ray extends vertically upward from the vertex, the second ray is inclined upward from the vertex to the right, and the third ray extends horizontally to the right. The angle between the first and the third rays is marked with a right angle symbol. The angle between the first and the second rays is labeled as left parenthesis x plus 4 right parenthesis degrees. The angle between the second and the third rays is labeled as left parenthesis 3x plus 2 right parenthesis degrees.
What are the two unknown angle measures that form the 90° angle?
(1 point)
(x+4)°= °, (3x+2)°= °
The two unknown angle measures that form the 90° angle are:
(x + 4)° and (3x + 2)°.
Note: The specific values of x and the angles cannot be determined without additional information.