Two complementary angles have measures (4x)° and (2x)° . What is the value of x and the two angle measures?(2 points)
x=___ , (4x)°=___ °, and (2x)°=___ °
To find the value of x and the angle measures, we need to set up an equation using the fact that complementary angles add up to 90 degrees.
According to the problem, the two angles are (4x)° and (2x)°.
So, the equation is:
(4x) + (2x) = 90
Combining like terms, we get:
6x = 90
To solve for x, we divide both sides of the equation by 6:
x = 90/6
x = 15
Now, we can find the angle measures:
(4x)° = 4(15)° = 60°
(2x)° = 2(15)° = 30°
Therefore, x = 15, (4x)° = 60°, and (2x)° = 30°.