Two complementary angles add up to 90 degrees.
Let the measure of the first angle be 2x.
Let the measure of the second angle be 3x.
Since the two angles are complementary, we have the equation:
2x + 3x = 90
Combining like terms, we get:
5x = 90
Dividing both sides by 5, we find:
x = 18
Substituting this value back into the equations, we have:
The measure of the first angle = 2x = 2(18) = 36 degrees
The measure of the second angle = 3x = 3(18) = 54 degrees
Therefore, the value of x is 18, and the two angle measures are 36 degrees and 54 degrees.
Two complementary angles have measured (2x) and (3x) what is the value of x and the two angle measures?
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