Find the value of x in each case:

45

Step-by-step explanation:

From the figure given, TV and RS are parallel.

Therefore, angle VTS and angle RST equal (Alternate angles)

Thus, angle VTS = angle RST = x

Angle T + angle S + angle R = 180° (sum of angles in a triangle)

2x + x + x = 180

4x = 180

Divide both sides by 4 to solve for x

x = 180/4

x = 45

The value of x in each case is 45

If we input 45 as a value of x in the angles in the triangle, the sum of what we have will give us 180°.