Prove that if two angles and one side of a triangle are equal to two angles and one side of another triangle. The triangles are congruent. Also check if the given pair of triangles are congruent?
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Given: Two angles and one side of a triangle are equal to two angles and one side of another triangle
To prove: The triangles are congruent
Solution:
The third angle in both triangles = 180° - 85° - 55° = 40°
In the two triangles
∠85° = ∠85°
7 cm = 7 cm
∠40° = ∠40°
So ASA (Angle, included Side, Angle) congruence, the two triangles are CONGRUENT
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