Question : ΔABC and ΔDEF are congruent respectively. If AB = 6 = DE, BC = 8 = EF and $\angle$B = 30°, then $\angle$D + $\angle$C _________.
Option 1: 160°
Option 2: 120°
Option 3: 130°
Option 4: 150°
Correct Answer: 150°
Solution :
Given, that $\triangle$ABC and $\triangle$DEF are congruent.
AB = 6 = DE, BC = 8 = EF, and $\angle$B = 30°
Since, $\triangle$ABC $\cong$ $\triangle$DEF
⇒ $\angle$A = $\angle$D
By angle sum property in $\triangle$ABC,
$\angle$A + $\angle$B + $\angle$C = 180°
⇒ $\angle$D + 30° + $\angle$C = 180°
⇒ $\angle$D + $\angle$C = 150°
Hence, the correct answer is 150°.
Related Questions
Know More about
Staff Selection Commission Combined Grad ...
Result | Eligibility | Application | Selection Process | Preparation Tips | Admit Card | Answer Key
Get Updates Brochure
Your Staff Selection Commission Combined Graduate Level Exam brochure has been successfully mailed to your registered email id “”.
