The measurement of the other three remaining angles are angle S = 64°, angle R = 116° and angle Q = 64°.
What is parallelogram and its properties ?
"A parallelogram is a two-dimensional geometrical shape, whose sides are parallel to each other. It is a type of polygon having four sides (also called quadrilateral), where the pair of parallel sides are equal in length."
"The Sum of adjacent angles of a parallelogram is equal to 180 degrees"
AB = CD and AD = BC
And, ∠A = ∠C & ∠B = ∠D
∠A + ∠D = 180°
∠B + ∠C = 180°
Given, [tex]\angle P = 116 degree[/tex]
Using properties of parallelogram,
[tex]\angle P + \angle S = 180°[/tex]
so, angle S = 180 - 116 = 64
similarly angle R = angle P
and angle Q = 64°
Hence, D is the correct option.
To know more about parallelogram here
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