In parallelogram STUV, VU = 91 centimeters,

Question

UW = 108.8 centimeters, and m∠TSV = 57°. Use the picture to find m∠SVU.

parallelogram STUV with bisector W

In parallelogram STUV, VU = 91 centimeters,
UW = 108.8 centimeters, and m∠TSV = 57°. Use the picture to find m∠SVU.

parallelogram STUV with bisector W

123

89

57

182

Answer 1

The sum of the interior angles of a parallelogram is always 360°.
Therefore, m∠SVU = 180° - m∠TSV = 180° - 57° = 123°.

So, m∠SVU = 123°.