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dlinn [17]
2 years ago
3

Given: m arc IV =114°, m∠VSK=38° Find: m PK

Mathematics
1 answer:
Vadim26 [7]2 years ago
7 0

Answer:

The measure of arc PK is 170\°

Step-by-step explanation:

step 1

Find the measure of angle ISV

we know that

m -----> by supplementary angles

we have

m

substitute

m

m

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

m

substitute the values and solve for y

142\°=\frac{1}{2}(114\°+y)

284\°=(114\°+y)

y=284\°-114\°=170\°

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Answer:

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