What are the two angle measures of complementary angles expressed as 3x° and (2x−5)° ?(1 point) Responses 33° and 57° 33 degrees and 57 degrees 21° and 69° 21 degrees and 69 degrees 19° and 71° 19 degrees and 71 degrees 30° and 60° 30 degrees and 60 degrees
3 answers
The two angle measures of complementary angles expressed as 3x° and (2x−5)° are 33 degrees and 57 degrees.
Two angles are complementary. One angle has a measure of 40° and the other has a measure of (8x+2)° . What is the value of x ?(1 point) Responses 11 11 6 6 50 50 60
If two angles are complementary, their measures add up to 90 degrees.
Given that one angle has a measure of 40°, we can set up the equation:
40° + (8x+2)° = 90°
Now we can solve for x by isolating the term with x:
8x+2 = 90 - 40
8x+2 = 50
Next, we subtract 2 from both sides of the equation:
8x = 50 - 2
8x = 48
Finally, we divide both sides of the equation by 8 to solve for x:
x = 48/8
x = 6
Therefore, the value of x is 6.
Given that one angle has a measure of 40°, we can set up the equation:
40° + (8x+2)° = 90°
Now we can solve for x by isolating the term with x:
8x+2 = 90 - 40
8x+2 = 50
Next, we subtract 2 from both sides of the equation:
8x = 50 - 2
8x = 48
Finally, we divide both sides of the equation by 8 to solve for x:
x = 48/8
x = 6
Therefore, the value of x is 6.
1 answer