2 complementary angles are in the ratio of 5:13. Find the measure of each angle?
5 x + 13 x = 90
18 x = 90
x = 5
25 and 65
5x+ 13x=18x
18x=90 degree
x= 90/18
X= 5
Padmakhshi's answer was useless.
To find the measure of each angle, we need to first understand what complementary angles are. Complementary angles are two angles that add up to 90 degrees.
Let's assign variables to the angles. Let's say the first angle is 5x and the second angle is 13x, where x is the common ratio between the angles.
According to the problem, the sum of the two angles is 90 degrees. So, we can write an equation:
5x + 13x = 90
Combine like terms:
18x = 90
To solve for x, divide both sides of the equation by 18:
x = 90/18
x = 5
Now that we have the value of x, we can find the measure of each angle:
First angle = 5x = 5 * 5 = 25 degrees
Second angle = 13x = 13 * 5 = 65 degrees
Therefore, the measure of the first angle is 25 degrees and the measure of the second angle is 65 degrees.