Question

If ΔABC ~ ΔDEF and ∠A = 47°, ∠E = 83°, then ∠C is equal ______.

Options

• 47°

• 50°

• 83°

• 130°

Answer 1

If ΔABC ~ ΔDEF and ∠A = 47°, ∠E = 83°, then ∠C is equal 50°.

Explanation:

We have,

In triangle ABC and DEF,

`\implies` ∠A + ∠E + ∠C = 180°

`\implies` 47° + 83° + ∠C = 180°

`\implies` ∠C = 180° – 130° = 50°