In a right triangle , the difference between two acute angles is ¦°\18 express the angles in degrees.
If one angle is x, then the other is x+18. So,
x + (x+18) = 90
To find the measures of the acute angles in a right triangle, we can use some basic properties of right triangles.
Let's assume one of the acute angles in the right triangle is α. The other acute angle will be 90° - α, since the sum of all angles in a triangle is 180°.
According to the given information, the difference between the two acute angles is ¦°/18. Therefore, we can express this relationship as:
90° - α - α = ¦°/18.
Simplifying the equation, we get:
90° - 2α = ¦°/18.
To find the value of α, we can solve this equation. Let's isolate α:
-2α = ¦°/18 - 90°.
Now, let's simplify the right side of the equation:
-2α = ¦°/18 - 90°(18/18).
-2α = ¦°/18 - 1620°/18.
-2α = (¦° - 1620°)/18.
Now, let's simplify further:
-2α = (¦° - 1620°)/18.
Multiplying both sides by -1/2 to solve for α:
α = (1620° - ¦°)/18 * (-1/2).
α = (¦° - 1620°)/36.
Therefore, one of the acute angles, α, in the right triangle can be expressed as (¦° - 1620°)/36. The other acute angle can be calculated as 90° - α.
Please note that without knowing the value of ¦°, we cannot provide the exact values of the angles.