Given: m arc iv =140°, m arc vk =30°, m∠isv=135° find: m∠vpl

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

that there are 12 data points

step-by-step explanation:

12/11c

or

12

c

11