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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°.
Learn more about Parallelogram:
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Answer:
Step-by-step explanation:
The first thing that you can do is to factor out an x^2 from the expression.
x^2(2x^2+4x-30)
The next step is to factor out a 2.
2x^2(x^2+2x-15)
Finally, you can factor the quadratic inside.
2x^2(x-3)(x+5)
And now you're finished! Hope this helps!