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nikitadnepr [17]
3 years ago
13

The angle measurements in the diagram are represented by the following expressions.

Mathematics
2 answers:
Anna11 [10]3 years ago
7 0
<h3><u>Answer:</u></h3>

x = 12°

<h3><u>Step-by-step explanation:</u></h3>

Since both lines are parallel.

Using alternate angle property!

= > Angle A = Angle B

= > 5 x - 15 = 2 x + 21

= > 5 x - 2 x = 21 + 15

= > 3 x = 36

= > x = 12

Therefore, the value of x is 12°.

valkas [14]3 years ago
3 0

Answer:

45°

Step-by-step explanation:

A and B are Alternate exterior angles and congruent, thus

5x - 15 = 2x + 21 ( subtract 2x from both sides )

3x - 15 = 21 ( add 15 to both sides )

3x = 36 ( divide both sides by 3 )

x = 12

Thus

∠ A = 5x - 15 = 5(12) - 15 = 60 - 15 = 45°

∠ B = 2x + 21 = 2(12) + 21 = 24 + 21 = 45°

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Step-by-step explanation:

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5 x - 10 + 3 x - 6 = 0

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Divide both sides of 8 x = 16 by 8:

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3 (2 x - 7) + (7 x + 2)/3 = 0

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(9 (2 x - 7))/3 + (7 x + 2)/3 = 0

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(9 (2 x - 7) + 2 + 7 x)/3 = 0

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