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marusya05 [52]
3 years ago
9

Help!!!

sure of ∠L?" alt="What is the measure of ∠L?" align="absmiddle" class="latex-formula">

Mathematics
1 answer:
raketka [301]3 years ago
3 0

Answer:

60°

Step-by-step explanation:

1. Because this is an equilateral triangle (a triangle with all equal sides), all angles are equal and are 60°.

Therefore, ∠L is 60°.

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Please help<br> (20pt an and will mark as brainliest)
Anastaziya [24]

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The Proof is given below.

Step-by-step explanation:

Given:

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To Prove:

∠5 ≅ ∠6

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Exterior Angle Theorem:

Exterior Angle Property of a Triangle states that measure of exterior angle of a triangle is equals to the sum of measures of its interior opposite angles.

STATEMENT                                                   REASON

1. So In ΔONE,

\angle 5=\angle ONE+\angle 2 1. Exterior Angle Property of a Triangle.

2. Similarly In ΔTEN,

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3. But , ∠ONE ≅ ∠TEN                               3. Given

4. And P is the center of circle So

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5. ΔPEN is an Isosceles triangle,

∴ ∠ 1 ≅ ∠ 2                                                  5. Isosceles triangle property

6. ∴ ∠5 ≅ ∠6                                               6. From 3 and 5 Transitive Property.........Proved

8 0
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vekshin1
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