The unknown angles of the parallelogram are as follows:
- m∠y = 85°
- m∠YVX = 59°
- x = 59°
How to find the angles and side of a parallelogram?
A parallelogram is a quadrilateral that has opposite sides equal to each other. Opposite sides are parallel to each other.
Opposite angles of a parallelogram is equal.
Adjacent angles of a parallelogram is supplementary.
Therefore,
m∠w = m∠y (opposite angles)
Hence,
m∠y = 85°
m∠YVX = 59° (alternate interior angles)
x = 180 - 85 - 59 + 59 = 36 + 59 = 95°
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