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lisov135 [29]
3 years ago
15

I need help with this problem. ​

Mathematics
1 answer:
AfilCa [17]3 years ago
7 0

Answer:

x=6,\\m\angle 1=18^{\circ}

Step-by-step explanation:

Since the problem denotes the figure as a parallelogram, \overline{AB} is parallel to \overline{DC}. Therefore, angles 1 and 2 are equal (from corresponding angles and vertical angles).

Therefore, we have the following equation:

m\angle 1=m\angle 2,\\x+12=6x-18,\\30=5x,\\x=\boxed{6}

Substituting x=6:

m\angle 1=x+12=6+12=\boxed{18^{\circ}}

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