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In triangles ABC and DEF, angles B and E each have measure 27° and angles C and F each have measure 41 °. Which additional piece of information is sufficient to determine whether triangle ABC is congruent to triangle DEF?

Triangle XYZ is similar to triangle RST such that X,Y , and Z correspond to R, S, and T,respectively. The measure of ∠Z is 20° and 2XY = RS. What is the measure of ∠T?

Triangles ABC and DEF are congruent, where A corresponds to D, and B and E are right angles. The measure of angle A is 18°. What is the measure of angle F?

Right triangles PQR and STU are similar, where P corresponds to S. If the measure of angle Q is 18°， what is the measure of angle S?

\( \triangle QPR \) is similar to \( \triangle STR \). The lengths represented by \( ST \) , \( QP \) , \( PR \) , and \( QR \)  in the figure are 14, 15, 20, and 25, respectively. What is the length of \( SR \) ?

In the figure shown,\( WZ \)  and \( XY \)  intersect at point \( Q \) . \( YQ \) =63, \( WQ \)= 70, \( WX \) = 60,
and \( XQ \) = 120. What is the length of \( YZ \) ?

Triangles EFG and JKL are congruent, where E, F, and G correspond to J, K, and L, respectively. The measure of angle E is 45° and the measure of angle F is 20° . What is the measure of angle J?

In triangles \( ABC \) and \( DEF \), angles \( B \) and \( E \) each have measure 27° and angles \( C \) and \( F \) each have measure 41°. Which additional piece of information is sufficient to determine whether triangle \( ABC \) is congruent to triangle \( DEF \)?

Triangle \( XYZ \) is similar to triangle \( RST \) such that \( X \), \( Y \), and \( Z \) correspond to \( R \), \( S \), and \( T \), respectively. The measure of ∠\( Z \)  is 20° and 2\( XY \) =\( RS \) . What is the measure of ∠\( T \)?

Right triangles \( LMN \) and \( PQR \) are similar, where \( L \) and \( M \) correspond to \( P \) and \( Q \) , respectively. Angle \( M \) has a measure of 53°. What is the measure of angle \( Q \) ?

In triangle RST, angle T is a right angle, point L lies on \( RS \) , point K lies on \( ST \), and \( LK \)  is parallel to \( RT \). If the length of \( RT \) is 72 units, the length of \( LK \) is 24 units, and the area of triangle RST is 792 square units, what is the length of \( KT \), in units?

In triangles LMN and RST, angles L and R each have measure 60°, LN = 10, and RT = 30. Which additional piece of information is sufficient to prove that triangle LMN is similar to triangle RST?