Question

A traiangle has angles mesures of (x+3) , (5x-8) and (2x+1)

what is the measure of the smallest angle of the triangles in deegrees?

Answer 1

To find the measure of the smallest angle, we need to find the value of x first.

In a triangle, the sum of all three angles is always 180 degrees.

So, we can set up the equation:

(x+3) + (5x-8) + (2x+1) = 180

Solve for x:

x + 3 + 5x - 8 + 2x + 1 = 180
8x - 4 = 180
8x = 184
x = 23

Now that we have the value of x, we can substitute it back into the expressions for the angles to find their measures:

x+3 = 23 + 3 = 26 degrees
5x-8 = 5(23) - 8 = 115 - 8 = 107 degrees
2x+1 = 2(23) + 1 = 46 + 1 = 47 degrees

Now we can see that the smallest angle of the triangle measures 26 degrees.