Respuesta :

devishri1977

Answer:

Step-by-step explanation:

∠A + ∠B + ∠C = 180      {Angle sum property of triangle}

∠A + 65 + 55 = 180

       ∠A + 120 = 180

                ∠A = 180 - 120

               ∠A = 60

If two triangles are similar, then the corresponding angles of two triangles are congruent.

z = ∠A

z = 60

Solution -:

In ∆ ABC,

[tex]\angle[/tex] A + [tex]\angle[/tex] B + [tex]\angle[/tex] C = 180° .... (Angle sum property of a triangle)

Here, we have:

  • [tex]\angle[/tex] B = 65°

  • [tex]\angle[/tex] C = 55°

Substituting values,

[tex]\dashrightarrow\sf{\angle A + 65 + 55 = 180} \\ \\ \dashrightarrow\sf{\angle A + 120 = 180} \\ \\ \dashrightarrow\sf{\angle A = 180 - 120} \\ \\ \dashrightarrow{\boxed{\sf{\gray \angle A = 60 \: \bigstar}}}[/tex]

As we know that,

★ If two triangles are similar, then the corresponding sides of two triangles are congruent.

[tex]\longrightarrow\tt{z= \angle A } \\ \\ \longrightarrow{\boxed{\tt{\gray Z = 60 \: \bigstar}}}[/tex]

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