Question

in the given figure the lines AB and PQ are intersecting at 'O'.

angle ROB= 90°, and a:b = 3:2 then find 'C' value .

plz answer step by step. ​

Answer 1

This is the picture of first page

Answer 2

Answer:

it is simple question

as we know AB is a straight line then the angle on that line will sum up to 180 degree

but angle Rob is 90 degree

so angle a and b will sum up to 90 degree

adding the ratio

3x+2x=90

5x=90

x=18

therefore angle a =18*3=54 degree

and angle b=18*2=36 degree

now we also know that pq is straight line so

angle b +angle Rob +angle c =180 degree

36+90+ angle c =180

therefore angle c= 180-126

angle c = 54 degree

thank you