Question

AB||CD if <ABC=45°,<COD=100°, find <ODC​

Answer 1

Answer:

35°

Step-by-step explanation:

<AOB=<COD= 100° ( Vertically opposite )

In ∆ AOB,

<AOB+<ABO+<BAO= 180°

=> <BAO= 180° - ( 100°+ 45° )

=> <BAO= 35°

Now, AB||CD and AD is a transversal

So, <D= <BAO= 35° ( co interior )

Hence, <ODC = 35°