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n200080 [17]
2 years ago
8

Given: mKP=2mIP, mIVK =120° Find: m∠KJL.

Mathematics
1 answer:
anzhelika [568]2 years ago
8 0

Answer:

<h2>The measure of angle KJL is 40°.</h2>

Step-by-step explanation:

Givens

m(KP)=2m(IP)

m(IVK)=120\°

Notice that

m(KP)+m(IP)+m(IVK)=360\°, by definition sum of arcs.

Replacing given values, we have

2m(IP)+m(IP)+120\°=360\°\\3m(IP)=360\° - 120\°\\m(IP)=\frac{240\°}{3}\\ m(IP)=80\°

Which means m(KP)=2(80\°)=160\°

Notice that arc KP is the subtended arc by angle KJL.

We know that the angle formed by a tangen and a secant is equal to one-half of the difference of the intercepted arcs.

m\angle KJL = \frac{1}{2} (m(KP)-m(IP))\\m \angle KJL = \frac{1}{2}(160\° - 80\° )=\frac{1}{2}(80\°)=40\°

Therefore, the measure of angle KJL is 40°.

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Alonzo's suitcase can weigh no more than 20 kilograms if he wants to take it on the airplane without paying a fee. His suitcase
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Which expression is equivalent to 144^(3/2)

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144^(3/2)

Required:

Find Equivalent.

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