Question

❗please help, due tomorrow.❗​

Answer 1

∠ VWY = 120°

Explanation:

See the attached diagram of the triangle.

In Δ WXY, ∠ XWY + ∠ X + ∠ Y = 180°

⇒ ∠ XWY + 80° + 40° = 180° {Given that ∠ X = 80° and ∠ Y = 40° }

⇒ ∠ XWY = 60°

Now, since XWV is a straight line, so ∠ VWY and ∠ XWY are supplementary.

So, ∠ VWY + ∠ XWY = 180°

⇒ ∠ VWY + 60° = 180°

⇒ ∠ VWY = 120° (Answer)