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Maths-

General

Easy

Question

In the figure, ‘x° ’ and ‘y° ’ are two exterior angle measures of DABC Then x° + y° =

90°
$< 90^{\circ}$
180°
$> 180^{\circ}$

The correct answer is: $greater than 180 to the power of ring operator end exponent$

In the triangle exterior angles are given and and we should find x+y
$F r o m space t h e space f i g u r e space w e space c a n space o b s e r v e space t h a t angle A B C equals 180 degree minus x S i m i l a r l y angle A C B equals 180 degree minus y F r o m space t r i a n g l e space p r o p e r t y space w e space h a v e comma angle A B C plus angle A C B plus angle B A C equals 180 degree left parenthesis 180 degree minus x right parenthesis plus left parenthesis 180 degree minus y right parenthesis plus angle B A C equals 180 degree H e n c e x plus y equals 180 degree plus 180 degree minus 180 degree plus angle B A C S o space x plus y equals 180 degree plus angle B A C I t space i s space c l e a r space t h a t space x plus y greater than 180 degree$

Hence x+y>180^o

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