The value of the measure of angle TVZ shown in the diagram is 95° (None of the option)
How to calculate the measure of angle TVZ ?
First, we shall determine the value of x in the diagram (see attached photo)
- ∠RVW = 2x + 15
- ∠WVZ = 2x + 5
- Value of x =?
∠RVW + ∠WVZ = 180 (angle on straight line)
2x + 15 + 2x + 5 = 180
4x + 20 = 180
4x = 180 - 20
4x = 160
x = 160 / 4
x = 40
Finally, we can determine the measure of angle TVZ. Details below:
∠TVZ = ∠RVW (vertiaclly opposite)
∠TVZ = 2x + 15
But,
x = 40
Thus,
∠TVZ = 2(40) + 15
∠TVZ = 80 + 15
∠TVZ = 95°
Thus, none of the options given is correct
Missing part:
See attached photo