A figure displays two adjacent complementary angles with measures (x+3)° and (4x−2)° . What is the equation of the angles measures?(1 point)

Answer 1

The equation to find the sum of two adjacent complementary angles is:

(x+3) + (4x-2) = 90

Simplifying the equation:

5x + 1 = 90

Subtracting 1 from both sides:

5x = 89

Dividing both sides by 5:

x = 17.8

Therefore, the equation of the angle measures is:

(x+3)° = (17.8+3)° = 20.8°

(4x-2)° = (4(17.8)-2)° = 69.2°

Answer 2

(7x - 9) ° + 4x° = ___?

Answer 3

To find the sum of (7x - 9)° and 4x°, we simply add the two angles together:

(7x - 9)° + 4x° = 7x - 9 + 4x = 11x - 9.

Therefore, the sum of (7x - 9)° and 4x° is 11x - 9°.

Answer 4

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

Answer 5

Since the angles are complementary, their sum must be equal to 90 degrees:

(4x) + (2x) = 90

Combining like terms:

6x = 90

Dividing both sides by 6:

x = 15

So the value of x is 15.

To find the measures of the two angles, we substitute x = 15 back into the expressions (4x) and (2x):

Angle 1: (4x)° = (4(15))° = 60°

Angle 2: (2x)° = (2(15))° = 30°

Therefore, the two angle measures are 60° and 30°.

Answer 6

n 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 the unknown angle measure?(1 point)

Answer 7

Since the two angles are complementary, their sum must be equal to 90 degrees:

36 + (x-3) = 90

Simplifying:

x - 3 = 90 - 36
x - 3 = 54

Adding 3 to both sides:

x = 54 + 3
x = 57

Therefore, the value of x is 57.

To find the value of the unknown angle measure, we substitute x = 57 into the expression (x - 3):

(x - 3)° = (57 - 3)° = 54°

Therefore, the value of the unknown angle measure is 54°.