Which postulate (if any) should be used to show the triangles congruent?

9. SSS

10. ASA

11. NONE

12. NONE

Step-by-step explanation:

9. The figure shows two triangles with two corresponding sides indicated to be congruent to each other. The third side is shared by both triangles. Therefore, by the SSS Congruence Theorem, both triangles are congruent to each other. Three sides of one triangle is congruent to the corresponding sides of the other.

10. The figure shows that two angles of one ∆ is congruent to two corresponding angles of the other ∆. Also, the triangles share a common side. This side is an included side between the two given angles. Therefore, by ASA Congruence Theorem, both triangles are congruent to each other.

11. This figure shows the two triangles have 3 corresponding equal angles. This is not enough to prove they are congruent.

12. The two triangles has two corresponding congruent sides given. However, we don't have enough information to determine if they are congruent to each other.

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value

i think the answer would be c