What are the two angle measures of complementary angles expressed as 3x° and (2x−5)°?(1 point)

Responses

30° and 60°
30 degrees and 60 degrees

19° and 71°
19 degrees and 71 degrees

21° and 69°
21 degrees and 69 degrees

33° and 57°

The two angle measures of complementary angles expressed as 3x° and (2x−5)° are 33° and 57°.

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

50
50

6
6

60
60

To find the value of x, we need to set up an equation using the fact that the sum of the measures of complementary angles is 90°.

Given that one angle measures 40° and the other measures (8x + 2)°, we can write the equation:

40° + (8x + 2)° = 90°

Simplifying the equation, we get:

8x + 42 = 90

Subtracting 42 from both sides, we get:

8x = 48

Dividing both sides by 8, we get:

x = 6

Therefore, the value of x is 6.