tejaswitanu2001 tejaswitanu2001

24-06-2014
Mathematics

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In the given figure , if angel ROQ = 90 and angel POS : angel ROS = 4 : 5 , then the value of angel SOQ is

In the given figure if angel ROQ 90 and angel POS angel ROS 4 5 then the value of angel SOQ is class=

Respuesta :

24-06-2014

First of all, these are angles. 'Angels' don't pop up too often in math.

ROQ is 90°.

Then POR is also 90°.

POS : ROS = 4 : 5

So if you split up POR into (4 + 5) = 9 pieces, POS is 4 of them and ROS is 5 of them.

Since POR is 90°, each piece is 10° .

POS = 40°
and
ROS = 50° .

SOQ is ROS added onto ROQ.

ROQ = 90°
ROS = 50°
------------------
SOQ = 140°

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