A figure displays two nonadjacent angles with measures (x + 2) and (2x - 4) . If the two angles are complementary, what is the written equation?

Question

(x + 2) + ( ) = __

Answer 1

The sum of two complementary angles is 90 degrees.

Therefore, the equation can be written as:
(x + 2) + (2x - 4) = 90.

Answer 2

The complementary angles have measures (4x) and (2x) . What is the value of x and the two angle measures?

x = __ (4x) = __ , and (2x) = __

Answer 3

The sum of two complementary angles is 90 degrees.

Therefore, (4x) + (2x) = 90.

Combining like terms, we get 6x = 90.

Dividing both sides by 6, we find that x = 15.

Substituting this value back into the expressions for the angle measures:

(4x) = 4(15) = 60

(2x) = 2(15) = 30

So, the values are:

x = 15
(4x) = 60
(2x) = 30

Answer 4

In a figure, one complementary angle has a measure of 36 and the other has a measure of (x - 3) . What is the value of x and the value of x and the value of the unknown angle measure?

X = __ , unknow angle measure = __

Answer 5

The sum of two complementary angles is 90 degrees.

Therefore, we can set up the equation:

36 + (x - 3) = 90.

Combining like terms, we get x + 33 = 90.

Subtracting 33 from both sides, we find that x = 57.

Substituting this value back into the expression for the unknown angle measure:

(x - 3) = (57 - 3) = 54.

So, the values are:

x = 57
Unknown angle measure = 54.

Answer 6

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?

answers:

(7x + 1) = 90

(7x + 1) = 180

(1x + 1) = 90

(1x + 1) = 180

Answer 7

The sum of two complementary angles is 90 degrees.

Therefore, the equation corresponding to the measures of the angles is:

3x + (4x + 1) = 90.

Combining like terms, we get:

7x + 1 = 90.

So, the simplified equation is:

(7x + 1) = 90.

Answer 8

What are the two angle measures of complementary angles expressed as 3x and (2x - 5) ?

answers:

19 and 71

21 and 69

30 and 60

33 and 57

Answer 9

The sum of two complementary angles is 90 degrees.

Therefore, we can set up the equation:

3x + (2x - 5) = 90.

Combining like terms, we get 5x - 5 = 90.

Adding 5 to both sides, we find that 5x = 95.

Dividing both sides by 5, we find that x = 19.

Substituting this value back into the expressions for the angle measures:

3x = 3(19) = 57

2x - 5 = 2(19) - 5 = 38 - 5 = 33

So, the two angle measures are 57 and 33.

Answer 10

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?

answers:

50

11

60

6

Answer 11

The sum of two complementary angles is 90 degrees.

Therefore, we can set up the equation:

40 + (8x + 2) = 90.

Combining like terms, we get 8x + 42 = 90.

Subtracting 42 from both sides, we find that 8x = 48.

Dividing both sides by 8, we find that x = 6.

So, the value of x is 6.