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Geometry and Trigonometry / Lines, angles, and triangles Difficulty: Easy

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 $45 degree$ and the measure of angle $F$ is $20 degree$ . What is the measure of angle $J$ ?

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Explanation

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 $45 degree$ , then the measure of angle $J$ is also $45 degree$ .

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.