Question

I'm stuck on a geometry problem where one angle is 43, the equation to find one is (3x), and the 3rd angle says (5x-5).

Answer 1

Explanation:

To solve for the angles, you can use the fact that the sum of the angles in a triangle is 180 degrees.

So, you can set up an equation:

43 + 3x + (5x-5) = 180

Simplifying, you get:

8x + 38 = 180

Subtracting 38 from both sides:

8x = 142

Dividing both sides by 8:

x = 17.75

Now that you know x, you can plug it into the expressions for the other two angles to find their measures:

First angle = 3x = 3(17.75) = 53.25

Third angle = 5x - 5 = 5(17.75) - 5 = 83.75

Therefore, the three angles are 43 degrees, 53.25 degrees, and 83.75 degrees.