Triangle ABC is congruent to triangle XYZ . Angle A measures 50 , angle B measures (2x+40) and angle X measures (4x+8) . Find the value of x.
To find the value of x, we can use the property of congruent triangles: corresponding angles are equal.
In triangle ABC, we know that angle A measures 50 degrees. And in triangle XYZ, angle X measures (4x+8) degrees.
Setting up the equation, we can say that:
50 = (4x+8)
To solve for x, we'll need to isolate the variable on one side of the equation.
Subtracting 8 from both sides:
50 - 8 = 4x
Simplifying:
42 = 4x
Dividing both sides by 4:
42/4 = x
Thus, x = 10.5.
X = A,
4x + 8 = 50,
4x = 50 - 8 = 42,
x = 10.5.