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2 years ago

QUESTION IS DOW BELOW 30 POINTS EACH PLEASE HELP PLEASE HELP PLEASE HELP

Mathematics

1 answer:

ivann1987 [24]2 years ago

5 0

The required solution is ∠RQT = 202° and ∠QTS = 51°

<h3 />

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

A cyclic quadrilateral is a quadrilateral which has all its four vertices lying on a circle. It is also called as inscribed quadrilateral.

Its main property is that the sum of opposite angles of inscribed quadrilateral is always 180 degrees.

Now, the given circle has a cyclic quadrilateral QRST in which it is given that ∠RQT = 202° and ∠QRS = 129°

Since,sum of the opposite angles of a cyclic quadrilateral = 180°

⇒∠QTS + ∠QRS = 180°

⇒ ∠QTS + ∠129° = 180°

⇒ ∠QTS = 180° - ∠129°

⇒ ∠QTS = 51°

Hence,the requires angles are ∠RQT = 202° and ∠QTS = 51°.

More about cyclic quadrilateral :

brainly.com/question/14323008

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