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larisa [96]
2 years ago
15

Ten points QRSTUVWXY and Z are equally and consecutively spaced on a circle.

Mathematics
1 answer:
laiz [17]2 years ago
4 0

The size of ∠QTW in degrees is 72°. See the explanation below. This is based on the concept of opposite sides in a quadrilateral.

<h3>What is the logic leading to the above result?</h3>

QSUWY which is a pentagon is regular that mean:

∠QYW = 108°

The quadrilateral QTWY is a cyclic one. This means that we can apply the rule that states that opposites sides must add up to 180°

Thus, ∠QTW =

180 - 108

= 72°

<h3>What is a quadrilateral?</h3>

A closed quadrilateral has four sides, four vertices, and four angles. It is a form of polygon.

In order to create it, four non-collinear points are joined. Quadrilaterals always have a total internal angle of 360 degrees.

Learn more about Quadrilateral at;
brainly.com/question/23935806
#SPJ1

Full Question:

See the attached image for missing details.

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