Triangles E F G and J K L are congruent, where E , F , and G correspond to J

Question

Triangles E F G and J K L are congruent, where E , F , and G correspond to J , K , and L , respectively. The measure of angle E is 45 &#176; and the measure of angle F is 20 &#176; . What is the measure of angle J ?

Accepted Answer

Choice B is correct. It's given that triangles E F G and J K L are congruent such that angle E corresponds to angle J . Corresponding angles of congruent triangles are congruent, so angle E and angle J must be congruent. Therefore, if the measure of angle E is 45 &deg; , then the measure of angle J is also 45 &deg; . Choice A is incorrect. This is the measure of angle K , not angle J . Choice C is incorrect and may result from conceptual or calculation errors. Choice D is incorrect and may result from conceptual or calculation errors.

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