Answer:
Measure of angle 'VPJ' is 140 degrees.
Explanation:
Given:
Measure of arc 'PIV' and measure of arc 'PKV'.
'PIV' = 7/2 times of 'PKV'
Lets say that PKV is 'x'.
⇒

⇒

Note:
A full circle has an arc angle measure of 360.
So,
⇒

⇒

⇒

⇒
The measure of arc 'PKV' = 80 degrees.
We have to find angle 'VPJ' that is having a linear pair with angle 'VPL'.
So before finding we 'VPJ' have to find 'VPL'.
And
According to the theorem:
The angle formed by the tangent and the chord is half the measure of the intercepted arc.
Then.
⇒

⇒

⇒
degrees
⇒ And from linear pair .
⇒

⇒

⇒

⇒
degrees.
So measure of angle 'VPJ' is 140 degrees.