Two complementary angles have measures 4X and 2X what is the value of X and the two angles measure
Two angles are complementary if their sum is 90 degrees.
Let the first angle be 4X.
Let the second angle be 2X.
The sum of the two angles is 4X + 2X = 6X.
Since the sum of the two angles is 90 degrees, we have:
6X = 90
Dividing both sides of the equation by 6, we get:
X = 90/6 = 15
Therefore, X = 15.
Substituting this value of X back into the expressions for the angles, we get:
The first angle = 4X = 4(15) = 60 degrees.
The second angle = 2X = 2(15) = 30 degrees.
Therefore, the value of X is 15 and the two angles measure 60 degrees and 30 degrees, respectively.