Question

What is the value of x? enter your answer in the box. Mm triangle v t k with segment t y such that y is on segment v k, between v and k. Angle v t y is congruent to angle y t k. V t equals 57 millimeters, v k equals x, y k equals 68 millimeters, and t k equals 129. 2 millimeters.

Answer 1

Answer: 98 millimeters

Explanation:

Since angle VTY is congruent to angle VTK, segment TY bisects angle VTK. Since Y is on segment VK, between V and K, we can use the Angle Bisector Theorem, which states that

   (1)

Since x= VK = VY + YK, we need to obtain VY since YK = 68.

VY is obtained by multiplying the denominator YK on both sides of equation (1). So,

Hence,

x = VK = VY + YK

x = 30 + 68

x = 98 millimeters