Two complementary angles have measures (4x)° and (2x)° . What is the value of x and the two angle measures?
Since the angles are complementary, their sum is 90°.
So, we have the equation:
(4x) + (2x) = 90
6x = 90
Dividing both sides by 6, we get:
x = 15
So, the value of x is 15.
The two angle measures are:
(4x)° = (4 * 15)° = 60°
(2x)° = (2 * 15)° = 30°
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 the unknown angle measure?
Since the angles are complementary, their sum is 90°.
So, we have the equation:
36 + (x - 3) = 90
Simplifying the equation, we get:
x - 3 = 90 - 36
x - 3 = 54
Adding 3 to both sides, we get:
x = 57
So, the value of x is 57.
The measure of the unknown angle is:
(x - 3)° = (57 - 3)° = 54°
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 the unknown angle measure?(1 point)
Since the angles are complementary, their sum is 90°.
So, we have the equation:
36 + (x - 3) = 90
Simplifying the equation, we get:
x - 3 = 90 - 36
x - 3 = 54
Adding 3 to both sides, we get:
x = 57
So, the value of x is 57.
The measure of the unknown angle is:
(x - 3)° = (57 - 3)° = 54°
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)
Since the angles are complementary, their sum is 90°.
So, we have the equation:
3x + (4x + 1) = 90
Simplifying the equation, we get:
7x + 1 = 90
Subtracting 1 from both sides, we get:
7x = 89
Dividing both sides by 7, we get:
x = 89/7
So, the value of x is 89/7.
The simplified equation corresponding to the measures of the angles is:
3x + (4x + 1) = 90
What are the two angle measures of complementary angles expressed as 3x° and (2x−5)° ?(1 point)
Since the angles are complementary, their sum is 90°.
So, we have the equation:
3x + (2x-5) = 90
Simplifying the equation, we get:
5x - 5 = 90
Adding 5 to both sides, we get:
5x = 95
Dividing both sides by 5, we get:
x = 19
So, the value of x is 19.
The two angle measures are:
3x° = 3 * 19° = 57°
(2x-5)° = 2 * 19 - 5° = 33°