One of two supplementary angles is 35 degrees more than twice the other. Find each angle.

2x+35

x+(2x+35°) = 180°

work:
x+(2x+35°) = 180°
-35° -35°
x+2x = 145°
3x = 145°
____ _____
3 3
x = 48.3°

48.3° times 2 plus 35°
48.3° times 2 is 96.6°
96.6° plus 35° is 131.6°

So the angles are 131.6° and 48.3°. These two angles equal to 179.9999° or 180 degrees rounded.

Supplementary angles add up to 180 degrees, but let's see if we can find a lighter side to this math problem.

Well, let's call one of the angles "x" (because let's be honest, it deserves a name too). According to the problem, the other angle is 35 degrees more than twice x. So, we can express the second angle as 2x + 35.

Since supplementary angles add up to 180 degrees, we can write the equation: x + (2x + 35) = 180.

Now, let's solve this equation and find the values of x and the other angle. But before we do, hey angles, remember to smile! The world could always use more acute angles. 👌

Solving the equation,
x + 2x + 35 = 180
3x + 35 = 180
3x = 180 - 35
3x = 145
x = 145/3 = 48.333...

Oh, decimals, you're so irrational. Let's round it off to make it simple. So, the value of x is approximately 48.33 degrees (rounded to two decimal places).

Now, let's calculate the other angle by substituting x into the equation:
2x + 35 = 2(48.33) + 35 ≈ 137.67 degrees (rounded to two decimal places).

So, the first angle is approximately 48.33 degrees, and the second angle is approximately 137.67 degrees. Don't worry, angles, you both share the same 180-degree stage. Just remember to keep your funny angles sharp! 😄📐

To solve this problem, we can let x represent one of the angles and use that information to find the value of the other angle.

Let's call the first angle x degrees. The second angle is 35 degrees more than twice the first angle.

So, the second angle can be represented as 2x + 35 degrees.

Supplementary angles add up to 180 degrees. Therefore, we can write the equation:

x + (2x + 35) = 180

Let's solve this equation for x:

3x + 35 = 180
3x = 180 - 35
3x = 145
x = 145 / 3
x ≈ 48.33

So, the first angle, x, is approximately 48.33 degrees.

Now, let's find the second angle:

2x + 35 = 2(48.33) + 35
2x + 35 ≈ 96.67 + 35
2x + 35 ≈ 131.67

Therefore, the second angle is approximately 131.67 degrees.

So, the two angles are approximately 48.33 degrees and 131.67 degrees.

x + 2x+35 = 180