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Maths-

General

Easy

Question

In the given figure, find the values of x y, and z.

$84^{\circ}, 68^{\circ}, 90^{\circ}$
$88^{\circ}, 104^{\circ}, 92^{\circ}$
$88^{\circ}, 78^{\circ}, 100^{\circ}$
$88^{\circ}, 68^{\circ}, 92^{\circ}$

The correct answer is: $88 to the power of ring operator end exponent comma 68 to the power of ring operator end exponent comma 92 to the power of ring operator end exponent$

$space I n space Q u a d r i l a t e r a l space D C E F space angle space F D C plus angle D F E plus angle D C E plus angle F E C equals 360 to the power of ring operator space left parenthesis a n g l e space s u m space p r o p e r t y space o f space a space q u a d r i l a t e r a l right parenthesis space space 112 plus 70 plus 90 plus x equals 360 space ring operator space x equals 360 to the power of ring operator minus 272 to the power of ring operator space x equals 88 to the power of ring operator$
x+z=180 (linear pair)
z=180-88
z=92
y=90 (given)

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