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Maths-

General

Easy

Question

In the given figure, find the values of ‘x’ and ‘y’

$30^{\circ}, 60^{\circ}$
$40^{\circ}, 60^{\circ}$
$60^{\circ}, 60^{\circ}$
$40^{\circ}, 25^{\circ}$

The correct answer is: $30 to the power of ring operator end exponent comma 60 to the power of ring operator end exponent$

$space S i n c e space i t space i s space space c y c l i c space q u a d r i l a t e r a l angle A plus angle C equals 180 to the power of ring operator space left parenthesis s u m space o f space e i t h e r space p a i r space o f space o p p o s i t e space a n g l e s space o f space a space c y c l i c space q u a d r i l a t e r a l space i s space 180 right parenthesis 2 x plus 4 plus 4 y minus 4 equals 180 to the power of ring operator 2 x plus 4 y equals 180 to the power of ring operator x plus 2 y equals 90 to the power of ring operator space......1 A l s o angle B plus angle D equals 180 to the power of ring operator space x plus 10 plus 5 y plus 5 space equals 180 to the power of ring operator x plus 5 y equals 165 to the power of ring operator..........2 s u b s t r a c t i n g space 1 space f r o m space 2 space w e space g e t 3 y equals 75 y equals 25 to the power of ring operator a n d space x equals 90 minus 50 x equals 40 to the power of ring operator$

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