Question

DF-

AWXY, if WX=WY, m/W = (x + 6)", m/X = (5x - 12)", and m/Y-(7x-48), find x and the
easure of each angle.
x=
m/W =

Answer 1

To find x and the measure of each angle in the triangle, we can set up equations using the given information and solve for x. The value of x is 18°, and the measure of each angle in the triangle is ∠W = 24°, ∠X = 78°, and ∠Y = 78°.

Step-by-step explanation:

To find the value of x and the measure of each angle, we can start by using the information given to set up equations.

From the given information:

1. WX = WY
2. ∠W = x + 6
3. ∠X = 5x - 12
4. ∠Y = 7x - 48

We know that the sum of the angles in a triangle is 180°, so we can set up the equation:

∠W + ∠X + ∠Y = 180°

Substituting the values we have:

(x + 6) + (5x - 12) + (7x - 48) = 180°

Now, we can solve for x:

13x - 54 = 180°

13x = 234°

x = 18°

Now that x = 18°, we can substitute it back into the expressions for the angles:

∠W = 18° + 6 = 24°

∠X = 5(18°) - 12 = 78°

∠Y = 7(18°) - 48 = 78°

Therefore, x = 18° and the measure of each angle is ∠W = 24°, ∠X = 78°, and ∠Y = 78°.

Learn more about Triangle angles