Given: m arc iv =114°, m∠vsk=38° find: m pk

The measure of arc PK is

Step-by-step explanation:

step 1

Find the measure of angle ISV

we know that

-----> by supplementary angles

we have

substitute

step 2

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

10 cm

step-by-step explanation:

if the polygon is a rectangle, then the perimeter is x+x+y+y. using the values that you gave, the perimeter is 3+3+2+2=10cm.