"Two angles are complemantary.one angle measures 14 degrees lesa than twice the other.Find the measure of the two angles".
I need help please...
let one angle be x, then the other is 90-x
"one angle measures 14 degrees lesa than twice the other"
---> 90-x -14= 2x
76 = 3x
x = 76/3 ° or 25.3333°
the other is 90-25.3333 = 64.666667°
check:
is 2(25.33333) less than 64.66666 by 14 ?? YES
To find the measure of the two angles, let's go step by step:
1. Let's assume that the measure of the first angle is x degrees. So, the measure of the second angle would be 2x - 14 degrees since it is 14 degrees less than twice the other angle.
2. Since the angles are complementary, the sum of their measures is equal to 90 degrees. Therefore, we can write the equation as follows: x + (2x - 14) = 90.
3. Simplify the equation: 3x - 14 = 90.
4. Add 14 to both sides of the equation: 3x = 104.
5. Divide both sides of the equation by 3: x = 34.66 (rounded to two decimal places).
So, the measure of the first angle is approximately 34.66 degrees.
To find the measure of the second angle, substitute the value of x back into the equation: 2(34.66) - 14 = 55.32 degrees (rounded to two decimal places).
Therefore, the two angles are approximately 34.66 degrees and 55.32 degrees.