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guapka [62]
3 years ago
7

Someone help me Solve x

Mathematics
2 answers:
nekit [7.7K]3 years ago
3 0

Answer:

<h2>x=12</h2>

Step-by-step explanation:

<h2>Hope this helps</h2><h2>I would explain but I have some work so sorry</h2>
Gnesinka [82]3 years ago
3 0

Answer:

<em>x = 12</em>

Step-by-step explanation:

<u>Angles and Lines</u>

The figure attached below has been completed with the angle y to support the calculations to come.

The sum of the interior angles of a rectangle is 180°. Applying on triangle PQR:

30 + 4x + 2 + y = 180

Simplifying:

32 + 4x + y = 180

Solving for y:

y = 180 - 32 - 4x

y = 148 - 4x

Angles y and 8 + 6x are a linear pair, i.e. their sum is 180°, thus:

y + 8 + 6x = 180

Substituting y from the equation above:

148 - 4x + 8 + 6x = 180

Simplifying:

156 + 2x = 180

Dividing by 2:

78 + x = 90

Subtracting 78:

x = 90 - 78

x = 12

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