Answer:
Step-by-step explanation:
step 1
Find the measure of arc PK
we know that
The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.
Let
x------> the measure of arc IV
y ------> the measure of arc PK
substitute the values and solve for y
The measure of arc PK is
step 2
Find the measure of angle VPL
we know that
The inscribed angle measures half that of the arc comprising
Let
z------> the measure of arc VK
y ------> the measure of arc PK
substitute the values