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uysha [10]
3 years ago
8

PLEAAAAASE, Please help me understand this! What is the value of x?

Mathematics
2 answers:
zubka84 [21]3 years ago
5 0
<h3>Answer: x = 50</h3>

========================================

Explanation:

The angles shown are vertical angles. Any pair of vertical angles are always congruent (i.e. equal)

Set the two expressions equal to each other and solve for x.

2(x+10) = 3x-30

2x+20 = 3x-30 ... distribute

2x+20-2x = 3x-30-2x ... subtract 2x from both sides

20 = x-30

20+30 = x-30+30 ... add 30 to both sides

50 = x

x = 50

---------

Check:

Plug x = 50 into the equation. Both sides should result in the same value

2(x+10) = 3x-30

2(50+10) = 3*50-30

2(60) = 3*50-30

120 = 150-30

120 = 120

The answer is confirmed.

Naddik [55]3 years ago
3 0

Answer:

x = 50 degrees.

Step-by-step explanation:

Vertical angles are congruent so :

2(x + 10) = 3x - 30

2x + 20 = 3x - 30

20 + 30 = 3x - 2x

x = 50.

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