The two unknown angle measures that form the 90° angle are:
(x+4)° and (3x+2)°
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?
the answers must fit within (x+4)°=
° and (3x+2)°=
°
3 answers
i said answer the question
Apologies for the confusion.
To find the two unknown angle measures that form the 90° angle, we need to set up an equation.
Given that the angle between the first and third rays is a right angle (90°), we can set up the equation:
(x+4)° + (3x+2)° = 90°
Simplifying the equation:
4x + 6 = 90
Subtracting 6 from both sides:
4x = 84
Dividing by 4:
x = 21
Therefore, the two unknown angle measures that form the 90° angle are:
(x+4)° = (21+4)° = 25°
(3x+2)° = (3(21)+2)° = 65°
To find the two unknown angle measures that form the 90° angle, we need to set up an equation.
Given that the angle between the first and third rays is a right angle (90°), we can set up the equation:
(x+4)° + (3x+2)° = 90°
Simplifying the equation:
4x + 6 = 90
Subtracting 6 from both sides:
4x = 84
Dividing by 4:
x = 21
Therefore, the two unknown angle measures that form the 90° angle are:
(x+4)° = (21+4)° = 25°
(3x+2)° = (3(21)+2)° = 65°