The measures of the angles of a triangle are shown in the figure below. Solve for x.

49°
(3x)°
74°

1 answer

To find the value of x, we use the fact that the sum of the angles in a triangle is always 180 degrees.

49° + 3x + 74° = 180°

Combine like terms:

(3x) + 123 = 180

Subtract 123 from each side:

3x = 57

Divide by 3:

x = 19

Therefore, x = 19.