Determine if the triangles in the figure are congruent. if so write the congruence statement and reason the triangles are congruent if so write the congruency statement and the reason the triangles are congruent. explain your answer.

Triangles UVW and YXW are congruent by ASA

see the explanation

Step-by-step explanation:

we know that

The ASA Postulate (Angle-Side-Angle) states that: If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

In this problem

---> by vertical angles

----> given problem

----> given problem

so

Two angles and the included side of triangle UVW are congruent to the corresponding parts of triangle YXW

therefore

Triangles UVW and YXW are congruent by ASA

x is greater than 5

step-by-step explanation:

2x+7 is greater than 17

    -7                           -7

2x is greater than 10

divide by 2 each side

x is greater than 5