In ΔCDE, m∠C = 30° and m∠E = 50°. In ΔFGH, m∠G = 100° and m∠H = 50°. Are the triangles congruent? If so, write a congruency statement.

Yes, ΔCDE ≅ ΔFGH.
Yes, ΔCDE ≅ ΔGHF.
Yes, ΔCDE ≅ ΔHGF.
No, the triangles are not necessarily congruent.

Be cannot tell if the corresponding sides both triangles are also congruent. The answer is: D. No, the triangles are not necessarily congruent.

If three angles in one triangles have angle measures that are equal to the other three corresponding angle measures, therefore, both triangles are congruent.

The corresponding sides are also congruent.

In ΔCDE, we have:

m∠C = 30° and m∠E = 50°

m∠D = 180 - 50 - 30 = 100°.

In ΔFGH, we have:

m∠G = 100° and m∠H = 50°

m∠F = 180 - 100 - 50 = 30°.

Thus:

However, we do not know if the corresponding sides are congruent also.

Therefore, both triangles are not congruent. The answer is: D. No, the triangles are not necessarily congruent.

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