∠R= 110°, ∠U= 70°, ∠T= 110° are the missing angle measures in parallelogram RSTU.
A parallelogram is a simple quadrilateral with two pairs of parallel sides in Euclidean geometry. A parallelogram's opposite or facing sides are of equal length, and its opposite angles are of equal measure.
Because RSTU is a parallelogram, we may use parallelogram characteristics to calculate S=U=70° ( Opposite angles of parallelogram are equal).
Using the property, sum of adjacent angles is equal to 180°, therefore,
⇒∠S+∠R= 180°
⇒70°+∠R= 180°
⇒∠R= 180°- 70°
⇒∠R=110°
Also, ∠R= ∠T= 110° (Opposite angles of parallelogram are equal).
Thus, ∠R=110°, ∠T= 110° and ∠U=70°
To learn more about Parallelogram
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