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=
°
Since we know that two adjacent angles form a resulting angle of 160°, we can set up the equation:
m∠1 + m∠2 = 160°
Substituting the given expressions for m∠1 and m∠2, we have:
3x + (2x + 10) = 160°
Combining like terms, we get:
5x + 10 = 160°
Subtracting 10 from both sides, we have:
5x = 150°
Dividing both sides by 5, we get:
x = 30°
Now, we can find the measurements of the two unknown angles:
m∠1 = 3x = 3(30°) = 90°
m∠2 = 2x + 10 = 2(30°) + 10 = 60° + 10° = 70°
Therefore, the two unknown angles' measurements are:
m∠1 = 90°
m∠2 = 70°
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)°=