# Transversal CD←→ cuts parallel lines PQ←→ and RS←→ at points X and Y, respectively. Points P and R lie on one side of CD←→, while Q and S lie on the other side. If m∠PXY = 64.36°, what is m∠XYS?

Answer: When parallel lines are cut by a transversal, then alternate interior angles are congruent.
Angles PXY and XYS are alternate interior angles.
m∠XYS = m∠PXY
m∠XYS = 64.36°

Step-by-step explanation:

According to the question,

PQ ║ RS

And, PQ and RS are cut by the same transversal CD.

Then, By the alternative interior angle theorem,

The alternative interior angles made by the transversal CD on parallel lines PQ and RS must be congruent.

Thus,

⇒  ( by the property of congruent angles )

Here

## Related Questions

For the polynomial below, find F(-3)

F(-3)= -4x^2+3x-1

3x-3(x+1)=3 solve for x​

X is 1,because 1+1 is 2 and 3 times 2 is 6 minus negative 3 equals 3

x

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No solution

Step-by-step explanation:

Which sentence states a property or a definition used in the construction of a perpendicular bisector? A line that intersects a line segment at an angle of 90° is parallel to the line segment. A line that bisects a line segment is necessarily perpendicular to the line segment. Any two points equidistant from the midpoint of a line segment lie on its perpendicular bisector. Any point on a perpendicular bisector is equidistant from each endpoint of the line segment.

The correct statement is:

A line that bisects a line segment is necessarily perpendicular to the line segment.

Step-by-step explanation:

Perpendicular bisector--

A perpendicular bisector is a line segment that is perpendicular to the given line i.e. it intersects the line at an angle of 90° and it also bisects the given line at  a point ( i.e. it divides the given line into two equal parts )

A line that intersects a line segment at an angle of 90° is parallel to the line segment. A line that bisects a line segment is necessarily perpendicular to the line segment. Any two points equidistant from the midpoint of a line segment lie on its perpendicular bisector. Any point on a perpendicular bisector is equidistant from each endpoint of the line segment. Done

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Step-by-step explanation:

16 oz = 1lb

Hope this helps!

~Courtney

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A.
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B.
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Choose all answers that are correct.

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4.9t2 + 15t + 1 = 0

–4.9t2 + 15t = 1

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