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vladimir1956 [14]
3 years ago
7

Please answer this question?​

Mathematics
2 answers:
Rudiy273 years ago
8 0

<em>a+40°+30°=360°</em>

<em>a+40°+30°=360°a+70°=360°</em>

<em>a+40°+30°=360°a+70°=360°a=360°−70°</em>

<em>a+40°+30°=360°a+70°=360°a=360°−70°a=290</em>°.

Svetlanka [38]3 years ago
7 0

Answer:

<u>Answer</u><u>:</u><u> </u><u>(</u><u>a</u><u>)</u><u>. </u><u>2</u><u>9</u><u>0</u><u>°</u>

{ \tt{a + 40 \degree + 30\degree = 360\degree}} \\  \\ { \tt{a  + 70\degree = 360\degree}} \\  \\ { \tt{a = 360\degree - 70\degree }} \\  \\  { \boxed{ \tt{ \:  \: a = 290\degree}}}

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ivann1987 [24]

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

#SPJ1

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