Question

Can you PLEASE HELP ME. WILL MAKE BRAINLIEST

Answer 1

Hope this helps you ☺

Answer 2

Hey mate !!

Here's the answer !!

Given that, Δ ABC, Δ EDC and Δ EFG are similar to each other.

=> All the corresponding angles are equal and the corresponding sides are proportionate.

Let us find the interior angles of Δ ABC first.

We know that,

∠ DCE = ∠ ACB = 50° ( Vertically opposite angles )

Hence now in Δ ABC, ∠ A + ∠ B + ∠ C = 180°

=> 30° + ∠ B + 50° = 180°

=> ∠ B + 80° = 180°

=> ∠ B = 180° - 80° = 100°.

Hence ∠ A = 30°, ∠ B = 100°, ∠ C = 50°.

So now we can easily find the angle measures of Δ EFG.

We know that Δ ABC = Δ EFG

=> ∠ A = ∠ E

=> ∠ B = ∠ F

=> ∠ C = ∠ G

Since the corresponding angles are equal for similar triangles.

Hence ∠ E = 30°, ∠ F = 100°, ∠ G = 50°.

Hence Option ( b ) is the correct answer

Hope my answer helps !!

Cheers !!