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qaws [65]
3 years ago
6

When segments intersect inside a circle, what is the relationship between the angle of intersection and the intercepted arcs?

Mathematics
2 answers:
n200080 [17]3 years ago
7 0

Answer:

Supplementary

Step-by-step explanation:

They would have to form 180 degrees

boyakko [2]3 years ago
4 0
THERE HAVE ALOT OF RELATIONSHIP 

It'll be clearer if you are spefic by giving a sketch of what you mean. 

1). if their angle of intersection is 90 degrees, then the arcs where sustended by the diameter of the circle 

2). the angle of intersection of the segments is equal but opposite to the angle of the intersected arcs which is directly proportional to the lengths of the arcs. 

<span>3). If the intersection occurs at the centre of the circle, the length of the arc produced is a function of the radius of the circle. 



I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!</span>
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Katena32 [7]

Answer:

Δ JKL is similar to Δ ABC ⇒ D

Step-by-step explanation:

Similar triangles have equal angles in measures

In ΔABC

∵ m∠A = 15°

∵ m∠B = 120

∵ The sum of the measures of the interior angles of a Δ is 180°

∴ m∠A + m∠B + m∠C = 180°

→ Substitute the measures of ∠A and ∠B

∵ 15 + 120 + m∠C = 180

→ Add the like terms in the left side

∴ 135 + m∠C = 180

→ Subtract 135 from both sides

∴ 135 - 135 + m∠C = 180 - 135

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The similar Δ to ΔABC must have the same measures of angles

If triangles ABC and JKL are similar, then

m∠A must equal m∠J

m∠B must equal m∠K

m∠C must equal m∠L

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∴ m∠A = m∠J

∵ m∠L = 45°

∴ m∠C = m∠L

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→ Subtract 60 from both sides

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