Question

50 degrees, 3x, x+10

Find the measure of the smallest angle of the triangle

3

50

90

40

Answer 1

The sum of the angles in a triangle is always 180 degrees. So, we can find the third angle by subtracting the given angles from 180.

Third angle = 180 - 50 - 3x - x + 10
Third angle = 180 - 60 - 4x
Third angle = 120 - 4x

Now, we need to find the value of x in order to find the smallest angle. We know that x + 10 is one of the angles, so x must be equal to 10 in order to keep it positive.

Substitute x = 10 into the equation for the third angle:

Third angle = 120 - 4(10)
Third angle = 120 - 40
Third angle = 80

So, the smallest angle of the triangle is 80 degrees.