A figure displays two nonadjacent angles with measures 3x° and (4x+1)° . If the angles are complementary, what is the simplified equation corresponding to the measures of the angles?(1 point)
Responses
(7x+1)°=90°
left parenthesis 7 x plus 1 right parenthesis degrees equals 90 degrees
(1x+1)°=180°
left parenthesis 1 x plus 1 right parenthesis degrees equals 180 degrees
(1x+1)°=90°
left parenthesis 1 x plus 1 right parenthesis degrees equals 90 degrees
(7x+1)°=180°
(3x°) + (4x+1)° = 90°
7x° + 1° = 90°
7x + 1 = 90
What are the two angle measures of complementary angles expressed as 3x° and (2x−5)°?(1 point)
Responses
21° and 69°
21 degrees and 69 degrees
33° and 57°
33 degrees and 57 degrees
30° and 60°
30 degrees and 60 degrees
19° and 71°
To find the two angle measures of complementary angles, we set up the equation:
3x° + (2x-5)° = 90°
Combining like terms, we have:
5x - 5° = 90°
Adding 5° to both sides:
5x = 95°
Dividing both sides by 5:
x = 19°
So, the two angle measures are:
3x° = 3(19°) = 57°
(2x-5)° = 2(19°) - 5° = 38° - 5° = 33°
Therefore, the two angle measures of complementary angles are 57° and 33°.
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
60
60
50
50
6
To find the value of x, we set up the equation:
40° + (8x+2)° = 90°
Combine like terms:
8x + 42° = 90°
Subtract 42° from both sides:
8x = 48°
Divide both sides by 8:
x = 6°
Therefore, the value of x is 6.