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valkas [14]
2 years ago
15

Find the measure of the indicated angle will give brainliest

Mathematics
1 answer:
Oksi-84 [34.3K]2 years ago
4 0

Answer:

it should be 40º but it doesn't look like that's an option...

Step-by-step explanation:

so we know that the inside of a triangle is equal to 180º and for the triangle on the right we already have two angles. so we can add the angles (41 + 72 = 113) and then subtract that from 180 to find the missing angle.

180 - 113 = 67º

now we also know that vertical angles are congruent/the same. so the vertice that is connecting the two triangles is also 67º. we can do the same thing we did with the other triangle, add the angles up and subtract from 180.

67 + 73 = 140

180 - 140 = 40º

we know this is true because when you add all the angles up it equals 180.

67 + 73 = 140 + 40 = 180

44 would put it at 184º which is not correct, and 150 would put it at 290ª which is also not correct...

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Given: mMEJ=30°,<br> mMFJ= 50°<br> Find: mKL, mMJ
makvit [3.9K]

Applying the angles of intersecting secants theorem, the measures of the arcs are:

m(KL) = 20°; m(MJ) = 80°.

<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:

  • m∠MEJ = 30°
  • m∠MFJ = 50°

m∠MEJ = 1/2(MJ - KL)

30 = 1/2(MJ - KL)

60 = MJ - KL

KL = MJ - 60

m∠MFJ = 1/2(MJ + KL)

50 = 1/2(MJ + MJ - 60)

100 = 2MJ - 60

2MJ = 100 + 60

2MJ = 160

MJ = 160/2

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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2 years ago
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