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Maths-

General

Easy

Question

In the given figure $A B parallel to C D$ and 'O' is a point such that $triangle A B O equals 40 to the power of ring operator end exponent text and end text open floor C D O to the power of 0 end exponent equals 30 to the power of ring operator end exponent. close$ Find the measure of $stack B O D with _ below$

60°
70°
80°
90°

hint Hint:

alternate angles are equal

The correct answer is: 70°

$d r a w space a space i m a g i n a r y space l i n e space M N space parallel to space A B space a n d space p a s s e s space t h r o u g h space O angle N O D space equals space angle O D C space equals 30 degree space space left parenthesis a l t e r n a t e space a n g l e right parenthesis angle N O B equals angle O B A space equals 40 degree space left parenthesis a l t e r n a t e space a n g l e s right parenthesis angle N O D space plus angle N O B space equals angle B O D angle B O D space equals 40 degree plus 30 degree space equals 70 degree$

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