Question

If triangle ABC is congruent to triangle DEF, A= 50, and e = 30, what is c?

Answer 1

ABC is congruent to DEF, so

`\begin{gathered} \angle A=\angle D \\ \angle B=\angle E \\ \angle C=\angle F \end{gathered}`

Given A = 50 and E = 30, we need to find C=?

A = 50

E = 30 means B = 30

So, now we can find c.

Triangle ABC has angles A, B, and C.

All 3 angles add up to 180. So we can write and solve:

`\begin{gathered} \angle A+\angle B+\angle C=180 \\ 50+30+\angle C=180 \\ 80+\angle C=180 \\ \angle C=100\degree \end{gathered}`