Question

Determine m∠S if m∠V = 64.°

Answer 1

m∠S=116º

Explanation:

What we know)

∠V=64º

Opposite interior angles in a parrelogram are the same

The sum of the interior angles of a quadrilateral is 360º

What we can figure out)

∠T is opposite ∠V

So, ∠T=∠V=64

360º-64º-64º=∠S+∠U

232º=∠S+∠U

∠S is opposite ∠U

So, ∠S=∠U=232/2

232/2=116

∠S=116º