Question

find the value of x in the figure
​

Answer 1

Answer:

Produce CD to cut AB at E.

Now, ΔBDE, we have

∠CDB =∠CEB+∠DBE

x=∠CEB+40 \: (1)

In ΔAEC

∠CEB=∠CAB+∠ACE

∠ CEB =48+30=78o

Put in (1)

x=78+40=118o.