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)

Question

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°

Answer 1

(3x°) + (4x+1)° = 90°

7x° + 1° = 90°

7x + 1 = 90

Answer 2

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°

Answer 3

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°.

Answer 4

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

Answer 5

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.