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Step-by-step explanation:
Solutions:-
A.
Given that
∆LMN is congruent to ∆ RST
∠T = 25°
∠T = ∠N are corresponding angles
∠N = 25°
and ∠L = ∠R = 90°
In triangle , the sum of all angles = 180°
=> 25°+90°+∠S = 180°
=> 115°+∠S = 180°
=> ∠ S = 180°-115°
∠S = 65°
LN and TR are corresponding sides
If LN = 12 cm then RT = 12 cm
B.
Given that
∆JEM and ∆RAD are congruent triangles
∠ A and ∠E are corresponding angles
If ∠A = 105° then ∠ E = 105°
ME and AD are corresponding sides
If ME = 10 cm then AD = 10 cm
Answer:-
A.
∠S = 65°
RT = 12 cm
B.
∠ E = 105°
AD = 10 cm
Used formulae:-
In two congruent triangles,
- the corresponding angels are equal.
- The corresponding sides are equal.
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