Question

solve this in easy way.. i can't understand this method ​

Answer 1

So, whenever anything is given in a ratio, multiply  x to it.

Here, they have given 5:7 ratio, so your angles will be 5x and 7x

Now, you need to find out x, and its given that PQ is a line.

So, the angle of PQ is 180.

By the figure, it is clear that 5x+7x=180,

12x=180

x= 180/12

x= 15

Now,

your angles 5X= 5*15= 75

                    7x = 7 * 15 = 105

Now,

angle ROP = angle SOQ (because vertically opposite angles are equal.)

angle SOQ = 75

angle ROQ = angle POS (same reason)

angle POS = 75

Therefore you have found all the angles.

Answer 2

Answer:

5x +7x

Step-by-step explanation:

5 x + 7 x =180 degree because it is a linear pair

5 x + 7 x is equals to 12 x = 180 degree ( on adding.

x= 180/12= 15 degree

angle POR = 15x 5= 75. degree

angleROQ= 15x 7= 105 degree

angle roq is equals to POS because of vertically opposite angle

so angle POS is equal to 105 degree

angle angle por is equals to soq

because of vertically opposite angles of angle is 4 Q is equals to 75 degree