Math, asked by andrea76, 5 days ago

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Answers

Answered by tennetiraj86
2

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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