Given Q below, is YQR a minor arc, a major arc, or a semicircle?
2 answers:
Answer:
B. Major arc.
Step-by-step explanation:
We have been given diagram of circle Q. We are asked to determine whether YQR is a minor arc, a major arc, or a semicircle.
Upon looking at our given circle, we can see that major of arc RY is 150 degrees.
We also know that major of all arcs is a circle is equal to 360 degrees. So we can set an equation as:
Upon substituting measure of arc RY, we will get:
Since measure of arc is YQR is greater than 180 degree, therefore, arc YQR is a major arc.
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All the angles created by the transversal intersecting through a pair of parallel lines have got many names and connections with each other, like Alternate Angles, Corresponding angles, consecutive interior angles etc.
As per the question statement, We are given a pair of parallel lines which is cut by a transversal. We are supposed to mark the following angles.
Alternate Interior Angles, Alternate Exterior Angles, Corresponding Angles and Consecutive Interior Angles.
Here is an attached image of the same with angles marked on it.
Alternate Interior Angles: ∠ = ∠
and ∠
=∠
Alternate Exterior Angles: ∠=∠
and ∠
=∠
Corresponding Angles: ∠=∠
, ∠
=∠
, ∠
=∠
and ∠
=∠
Consecutive Interior Angles: ∠=∠
and ∠
=∠
- Parallel Lines: Parallel lines are those straight lines that are, no matter how far they are extended, always the same distance apart from one another.
- Transversal Line: In geometry, a transversal line intersects two lines in the same plane at two different locations.
To learn more about Transversal Line click on the link given below:
#SPJ1
