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Vitek1552 [10]
2 years ago
9

Given: a || b, transversal k Prove <3 = <6

Mathematics
1 answer:
Mariulka [41]2 years ago
7 0

By the property of corresponding angles  ∠3 ≅ ∠5.

<h3>What is transversal line?</h3>

In geometry, a transversal is any line that intersects two straight lines at distinct points.

If two parallel lines are cut by a transversal, then each pair of corresponding angles are equals.

That is, ∠3 = ∠5 and ∠4 = ∠6.

Therefore the given angles ∠3 and ∠5 are equal.

Hence  ∠3 ≅ ∠5 .

Know more about transversal line here :

brainly.com/question/17432060

#SPJ1

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Answer

The missing length is 10

Step-by-step explanation:

Represent the missing length with x

The sides of the given shape are directly proportional.

Mathematically:

(15 + x) to (12 + 8) and x to 7

Represent as a ratio:

(15 + x) : (12 + 8) = x : 8

15 + x : 20= x : 8

Convert to fraction

\frac{15 + x}{20} = \frac{x}{8}

Cross Multiply:

(15 + x)*8 = 20 * x

120 + 8x = 20x

Collect Like Terms

20x - 8x = 120

12x = 120

Solve for x

x = \frac{120}{10}

x = 10

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