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Butoxors [25]
3 years ago
11

Find the value of x.

Mathematics
1 answer:
dedylja [7]3 years ago
8 0

Answer:

x = 40°

Step-by-step explanation:

Measure of external angle outside a circle = ½ of the difference of the measurements of the intercepted arcs

Thus:

m<T = ½(arc PQ - arc RS)

x/2 = ½[(x + 70) - (x + 30)]

Multiply both sides by 2

x = (x + 70) - (x + 30)

x = x + 70 - x - 30 (distributive property)

Add line terms

x = x - x + 70 - 30

x = 40°

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