For the figure in the right up
The two triangles have 2 equal angles and one equal side
Then it should be AAS
Triangle AOC is congruent to triangle BOC
You must write the name of the triangles with equal angles
Since < AOC = < BOC ------- Given
Since Since OC = OC ------- common side
By using the AAS theorem of congruency
Then triangle AOC is congruent to triangle BOC
For the figure in the right down
Since OX // YC, then
Since
Since OC = CB ------- Given
Then by using the AAS theorem of congruency
Triangle XCO is congruent to triangle YBC