Question

in the given fig, PO is perpendicular to AB . If x:y:z=1:3:5, find x,y,z​

Answer 1

Answer:

angle AP = 90° { PO is perpendicular to AB

The ratio of all angles = x:y:z

= 1:3:5

angle AOR = a

angle ROQ = 3a

angle QOP = 5a

angle AP = 90°

angle AOR + angle ROQ + angle QOP = 90°

a + 3a + 5a = 90°

9a = 90°

a = 10°

angle AOR = a

x = 10°

angle ROQ = 3a

y = 3×10°

y = 30°

angle QOP = 5a

z = 5×10°

z = 50°

Hence, the value of x,y and z is 10°,30° and 50°