RSTU is a parallelogram. If m∠TUV = 78° and m∠TVU = 54°, explain how you can find the measure of ∠SRV. Show all steps of your wo
1 answer:
A parallelogram quadrilateral in which opposite sides are parallel is called a parallelogram. The measure of ∠SRV is 48°.
<h3>What is a parallelogram?</h3>A parallelogram quadrilateral in which opposite sides are parallel is called a parallelogram.
Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.
The diagram for the given condition can be made as shown below. Now in ΔTVU the sum of the measure of the angles can be written as,
∠TVU + ∠VTU + ∠TUV = 180°
∠VTU = 48°
Now, since the given polygon is a parallelogram RS║TU, therefore, the measure of ∠SRV will be equal to ∠VTU because the two angles are a pair of alternate interior angles. Therefore,
∠SRV = ∠VTU = 48°
Hence, the measure of ∠SRV is 48°.
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