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Answer:

112 degrees

Step-by-step explanation:

This is a quadrilateral, meaning 4 sides. The sum of the angles of a quadrilateral is 360 degrees. You are given the right angle, or 90 degrees, and the 46 degree angle at the bottom. Since the two lines on either side of the 46 degree angle represent parallelism, angles 1 and 2 are the same.

360 - (90+46) = 224.

224 / 2 = 112.

Answer:

[tex]m∠1 = 112[/tex]

Step-by-step explanation:

[tex]m∠1 = m∠2[/tex]

[tex]m∠1 + m∠2 + 90 + 46 = 360[/tex]

[tex]m∠1 +m ∠2 + 136 = 360[/tex]

[tex]m∠1 + m∠2 = 360 - 136[/tex]

[tex]m∠1 + m∠2 = 224[/tex]

[tex]m∠1 = \frac{224}{2} [/tex]

[tex]m∠1 = 112[/tex]

[tex]m∠2 = \frac{224}{2} [/tex]

[tex]m∠2 =112[/tex]

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