Question

Please answer in full formula not only answer please​

Answer 1

Answer:

x = 15

∠T = 60°, ∠R = 55°, ∠S = 65°

Step-by-step explanation:

Given:- Two triangles, ΔMNL and ΔTRS, whose angles are given as:-

∠N = 55°

∠L = 65°

∠T = (2x + 30)°

and ΔMNL ≅ ΔTRS

To Find:- ∠T, ∠R, and ∠S

In ΔMNL

∠M + ∠N + ∠L = 180° [Angle Sum Property]

∠M + 55° + 65° = 180°

∠M + 120° = 180°

∠M = 180° - 120°

∠M = 60°

Now, we are given,

ΔMNL ≅ ΔTRS

Thus, by C.P.C.T [Corresponding Parts of Congruent Triangles]

∠M = ∠T ------ 1

∠N = ∠R ------ 2

∠L = ∠S ------- 3

Hence,

From eq.1,

∠T = 60°

2x + 30 = 60°

2x = 60 - 30

2x = 30

x = 30/2

x = 15

From eq.2,

∠R = 55°

From eq.3,

∠S = 65°

Hence,

x = 15

∠T = 60°, ∠R = 55°, ∠S = 65°

Hope it helped and believing you understood it........All the best

Answer 2

Answer:

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