A figure displays two nonadjacent angles with measures (x+2)° and (2x−4)° . If the two angles are complementary, what is the written equation?
(x+2)° + (__)° =__ °
(x+2)° + (2x−4)° = 90°
A figure displays two adjacent complementary angles with measures (x+3)° and (4x−2)° . What is the equation of the angles measures?
(x+3)° + (__)° = __°
(x+3)° + (4x−2)° = 90°
Use the image to answer the question.
An illustration shows three rays A, D, and C emerging from a point labeled B, forming a right angle at B. The right angle is divided into two parts by ray B D. The angles face leftward. Angle A B C measures 90 degree, angle A B D measures 4 x degrees, and angle D B C measures left parenthesis 7 x minus 9 right parenthesis degrees.
What is the equation for determining the angle measures?
(__)° + 4x° =__ °
Angle ABD + 4x° = 90°
Two complementary angles have measures (4x)° and (2x)° . What is the value of x and the two angle measures?
x= __, (4x)°=__ °, and (2x)°=__ °
To find the value of x, we can set up an equation based on the fact that the two angles are complementary:
(4x)° + (2x)° = 90°
Combining like terms:
6x° = 90°
Dividing both sides by 6, we get:
x = 15
Substituting x back into the equations, we can find the angle measures:
(4x)° = (4 * 15)° = 60°
(2x)° = (2 * 15)° = 30°
Therefore, x = 15, (4x)° = 60°, and (2x)° = 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?
x= __, unknown angle measure = __°
To find the value of x, we can set up an equation based on the fact that the two angles are complementary:
36° + (x - 3)° = 90°
Combining like terms:
x - 3 + 36 = 90
Simplifying:
x + 33 = 90
Subtracting 33 from both sides:
x = 57
Therefore, x = 57.
To find the value of the unknown angle measure, we can substitute x back into the equation:
Unknown angle measure = x - 3 = 57 - 3 = 54°
Therefore, x = 57 and the unknown angle measure is 54°.