Two angles are complementary. One angle is twice as large as the other. Find the measure of each angle
60
x + 2x = 90 degrees
Calculate x, then 2x.
To find the measure of each angle, we can set up an equation using the given information.
Let's say that the measure of one angle is x degrees. Since the other angle is twice as large, we can call it 2x degrees.
Since the angles are complementary, the sum of their measures should be 90 degrees. So, we can write the equation:
x + 2x = 90
Combining like terms, we get:
3x = 90
Next, we can solve for x by dividing both sides of the equation by 3:
3x/3 = 90/3
x = 30
Therefore, one angle measures 30 degrees (x), and the other angle measures twice that, which is 60 degrees (2x).