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Alika [10]
3 years ago
9

One number is 2 more than another. If four times the larger number decreased by the smaller number is equal to 32,what are the n

umbers
Mathematics
1 answer:
Vanyuwa [196]3 years ago
4 0
The numbers would be 8 and 10
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Given: mMEJ=30°,<br> mMFJ= 50°<br> Find: mKL, mMJ
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Applying the angles of intersecting secants theorem, the measures of the arcs are:

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<h3>What is the Angles Intersecting Secants Theorem?</h3>

When two secants intersect and form an angle outside the circle, the measure of the angle formed is half the positive difference of the measures of the intercepted arcs.

Given the following:

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m∠MEJ = 1/2(MJ - KL)

30 = 1/2(MJ - KL)

60 = MJ - KL

KL = MJ - 60

m∠MFJ = 1/2(MJ + KL)

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2MJ = 160

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MJ = 80°

KL = MJ - 60 = 80 - 60

KL = 20°

Thus, applying the angles of intersecting secants theorem, the measures of the arcs are:

m(KL) = 20°; m(MJ) = 80°.

Learn more about angles of intersecting secants theorem on:

brainly.com/question/1626547

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