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)°= °
Since the angles are complementary, the sum of their measures is 90 degrees.
Therefore, we can set up the equation:
(4x) + (2x) = 90
Combining like terms, we get:
6x = 90
To solve for x, we divide both sides by 6:
x = 90 / 6
x = 15
So, the value of x is 15.
To find the measure of each angle, we substitute x = 15 into the expressions (4x)° and (2x)°:
(4x)° = (4 * 15)° = 60°
(2x)° = (2 * 15)° = 30°
Therefore, the two angle measures are 60° and 30°.