In the given figure, AB II CD. If =30^ and =100^ . then =? - Vidyadip

MCQ

In the given figure, AB II CD. If $\angle\text{AOC}=30^\circ$ and $\angle\text{OAB}=100^\circ.$ then $\angle\text{OCD}=?$

A
80º
B
100º
C
130º
D
150º

✓

Answer

8
Solution:
Extend line CD which intersect AO at M.
(Corresponding angle)
$\angle\text{MOC}+\angle\text{CMO}=\angle\text{DCO}$ (exterior angle is equal to the sum of two opposite interior angles)
$\angle\text{DCO}=100^\circ+30^\circ=130^\circ$

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