Find the value of x, y and z in the figure given below.

Asked by Topperlearning User | 6th May, 2013, 02:33: AM

Expert Answer:

Here,

AOB and DOC are vertically opposite angles.

So, AOB = DOC

i.e., DOC = 105o

or z = 105o

Now, AOB + AOD = 180o (linear pair of angles)

105o + x = 180o

x = 180o - 105o

x = 75o

Now, since x = y (vertically opposite angles) we get,

y = 75o

Answered by  | 6th May, 2013, 04:33: AM