Question triang
Triangles and are congruent, where , , and correspond to , , and , respectively. The measure of angle is and the measure of angle is . What is the measure of angle ?
Triangles E F G and J K L are congruent, where E , F , and
Medium-difficulty · SAT Math · Lines, Angles, and Triangles — Triangle sum theorem. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.
Answer explanation
Choice B is correct. It's given that triangles and are congruent such that angle corresponds to angle . Corresponding angles of congruent triangles are congruent, so angle and angle must be congruent. Therefore, if the measure of angle is , then the measure of angle is also .
Choice A is incorrect. This is the measure of angle , not angle .
Choice C is incorrect and may result from conceptual or calculation errors.
Choice D is incorrect and may result from conceptual or calculation errors.
More Lines, Angles, and Triangles practice questions
- Counterclockwise from top right, the lines are labeled s, r, q, and t. Line
- In △ R S T , the measure of ∠ R is 63 °
- Clockwise from top left, the 3 lines are labeled t, m, and n. Line
- In triangle X Y Z , angle Y is a right angle, point P
- At the intersection of the 2 lines, the angles are labeled clockwise from top
- Triangles A B C and D E F are congruent, where A corresponds to
- Clockwise from top left, the 3 lines are labeled t, p, and q. Line
- A circle has center O , and points R and S lie on the
Browse all Additional Topics in Math practice questions or return to the full SAT question bank.