What are the two unknown angle measures that form the 90° angle?
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.
The two unknown angle measures that form the 90° angle are x + 4 and 3x + 2.
(x+4)°= __ ° , (3x+2)°= __ °
fill in the blanks
(x+4)°= __ ° , (3x+2)°= __ °
To find the values of x+4 and 3x+2, we need more information or equations. Without any additional equations or information, we cannot determine the exact values of these angles.
What are the two unknown angle measures that form the 90° angle?
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.
(x+4)°= __ ° , (3x+2)°= __ °
fill in the blanks
To find the values of (x+4)° and (3x+2)°, we can set up an equation involving the angles.
Since the angle between the first and the third rays forms a right angle, it measures 90°. Therefore, we can write the equation:
(x+4) + (3x+2) = 90
Simplifying the equation, we have:
4x + 6 = 90
Subtracting 6 from both sides of the equation:
4x = 84
Dividing both sides by 4, we have:
x = 21
Now we can substitute this value back into the expressions for the angles:
(x+4)° = (21+4)° = 25°
(3x+2)° = (3(21)+2)° = 65°
So, (x+4)° = 25° and (3x+2)° = 65°.
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?
16
120
128
52
Two adjacent angles on a straight line add up to 180°.
Let's 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
Now we can find the measure of the second angle:
(8x)° = (8 * 16)° = 128°
Therefore, the measure of the second angle is 128°.