Question

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

Answer 1

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

What is the logic leading to the above result?

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°

What is a quadrilateral?

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;
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Full Question:

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