Question

If $\Delta ABC\cong \Delta DEF,\angle A={47}^{\circ },\angle E={83}^{\circ },$ then the value of $\angle C$ is:

• A. ${47}^{\circ }$
• B. ${30}^{\circ }$
• C. ${40}^{\circ }$
• D. ${50}^{\circ }$

Answer 1

Answer: (D)

${50}^{\circ }$

$△ABC\cong △DEF\therefore \angle B=\angle E\Rightarrow \angle B={83}^{\circ }$

Now in$△ABC$

$\angle A+\angle C+\angle B={180}^{\circ }{47}^{\circ }+\angle C+{83}^{\circ }={180}^{\circ }\Rightarrow \angle C={50}^{\circ }$