Question

If $∆ABC\cong ∆PQR$and $m\angle ACB={30}^o$ then $m\angle PRQ$is

• A. ${30}^o$
• B. ${60}^o$
• C. ${90}^o$
• D. ${70}^o$

Answer 1

The correct option is A

${30}^o$

Step-1: For two triangles being congruent, their corresponding angles and corresponding sides must be equal.

So, $m\angle ACB\hspace{0.17em}$must be equal to $m\angle PRQ$

Option $A$- $m\angle PRQ=$$m\angle ACB={30}^o$

Option $B$-( $m\angle PRQ$$=$${60}^o$)$\ne$( $m\angle ACB={30}^o$)

Option $C$- ( $m\angle PRQ$$=$${90}^o$)$\ne$( $m\angle ACB={30}^o$)

Option $D$- ( $m\angle PRQ$$={70}^o$)$\ne$( $m\angle ACB={30}^o$)

Hence, Option $A$is correct answer