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Mathematics

Grade9

Easy

Question

What is the value of x?

7
5
8
3

hint Hint:

In this question, we have to find the value of x if it is given that VU $parallel to$ XW $parallel to$ ZY and $angle$ APU = (7x + 6) $degree$ and $angle$ BRY = 125 $degree$ . as we know that the corresponding angles of a parallel lines are equal, so, we can say that $angle$ APU and $angle$ QRY are equal and as $angle$ QRY and $angle$ BRY are angles formed in a straight line so there sum would be 180 $degree$ . Thus by equating this we can get the value of x.

The correct answer is: 7

$A s comma space V U parallel to X W parallel to Z Y S o comma space angle A P U space equals space angle Q R Y space equals left parenthesis 7 x plus 6 right parenthesis degree A s space c o r r e s p o n d i n g space a n g l e s space f o r m e d space w h e n space a space p a r a l l e l space l i n e s space c u t space b y space a space t r a n s v e r s a l space a r e space e q u a l.$
$A l s o comma space angle Q R Y plus angle B R Y space equals space 180 degree space space left parenthesis s u m space o f space a n g l e s space f o r m e d space i n space a space s t r a i g h t space l i n e right parenthesis.$
7x + 6 + 125 = 180 $degree$
7x + 131 = 180 $degree$
7x = 180 - 131
7x = 49
x = $49 over 7$
x = 7
Hence, required value of x is 7.

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