Question

hi guys please help me in this question
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Answer 1

Answer:

DF = 8 cm and angle B = 28 degree

Step-by-step explanation:

As the two triangles are congruent then the length of the correspondent side of the 2 triangles are equal and the correspondent angles are also equal.

Answer 2

Given :

• ∆ABC $\cong$ ∆DEF

To Find :

• DF
• $\angle$ B

Solution :

According to the question,

$\rightarrow$ We have ,

$\sf\implies$ ∆ ABC $\cong$ ∆DEF

$\sf\huge\implies$ $\therefore$ By (CPCT) Corresponding parts of Congruent triangle are equal

$\sf\huge\implies$$\because$ ∆ABC = ∆DEF

$\sf\huge\implies$ So ,All the parts of these two triangles will also be equal

$\sf\huge\implies$ Then, AC = DF

$\sf\huge\implies$ Value of AC = 8cm

$\sf\huge\implies$ Therefore , value of DF = AC = 8 cm {By CPCT}

$\sf\huge\implies$ $\angle$ B = $\angle$ E = 28°

Hence , DF = 8cm and $\angle$B = 28°