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vovangra [49]
3 years ago
14

Given: m arc IV =140°, m arc VK =30°, m∠ISV=135° Find: m∠VPL

Mathematics
1 answer:
Blizzard [7]3 years ago
5 0

Answer:

m

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

m

substitute the values and solve for y

135\°=\frac{1}{2}(140\°+y)

270\°=(140\°+y)

y=270\°-140\°=130\°

The measure of arc PK is 130\°

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

m

substitute the values

m

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