Question

in the adjoining diagram, angle AOB and angle COD are similar. study the diagram and find the value of X ,Y and Z ​

Answer 1

Answer:

x= 3cm, y= 12cm, z= 60 degrees

Step-by-step explanation:

by observation,

AOB is a right angled triangle.

By Pythagoras theorem,

x^2 + 4^2 = 5^2

x^2 = 25-16

x^2 = 9

x = 3 cm

As AOB and COD are similar,

AB/CD = AO/OD = BO/OC

AB/CD = AO/OD

5/15 = 4/y

1/3 = 4/y

y= 12 cm

as AB parallel to CD with BC as the transversal,

angle ABO = angle OCD

60 degrees = z

z= 60 degrees