If measures of two complementary angles are in the ratio 1 : 5. What are the degree measures of the two angles? Thanks :)
1/6 = x/90
6x = 90
x = 15
90 - 15 = ?
http://www.mathsisfun.com/geometry/complementary-angles.html
To find the degree measures of the two angles, we'll first need to understand what complementary angles are. Complementary angles are two angles that add up to 90 degrees.
Let's assume the measure of one angle is x degrees. Since the ratio of the measures of the two angles is 1:5, the measure of the other angle would be 5 times larger than the first angle, so it would be 5x degrees.
Now, since the sum of the two angles is 90 degrees, we can write an equation:
x + 5x = 90
Combining like terms:
6x = 90
Dividing both sides of the equation by 6:
x = 15
Therefore, the measure of the first angle (x) is 15 degrees, and the measure of the second angle (5x) is 5 * 15 = 75 degrees.
So, the two angles are 15 degrees and 75 degrees, respectively.