From point M, located inside the angle ABC, equal to 84 °, straight lines are drawn parallel to the sides of this angle
| June 20, 2021 | education
From point M, located inside the angle ABC, equal to 84 °, straight lines are drawn parallel to the sides of this angle. Find the angle with the vertex at point M, formed by these lines.
If straight lines are drawn through the point M, parallel to the sides of the corner, then a ВAMС quadrangle is formed.
The MC side is parallel to the AB side; the MA side is parallel to the BC side. And if the opposite sides of a quadrilateral are parallel, then this quadrilateral is a parallelogram.
In a parallelogram, opposite sides and opposite angles are equal. Hence, <B = <M = 84.
Answer. 84 degrees.
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