Need help on a geometry question

Answer:The m∠ V is 58°.Step-by-step explanation:Given:∠ U = 18°∠ W = 52°∠ X = 24°To Find:∠ V = ?Solution:In Δ WYX∠ YWX + ∠ WXY + ∠ WYX = 180°.....{sum of the angles of a triangle is 180°}∴ 52 + 24 + ∠ WYX = 180°∴ ∠ WYX = 180 - 76∴ ∠ WYX = 104°Now,∠ VYU = ∠ WYX = 104° .........{vertically opposite angles are equal}Now in Δ VYU∠ VYU + ∠ VUY +∠ UVY = 180° {sum of the angles of a triangle is 180°}∴ 104 + 18 + ∠ UVY = 180°∴  ∠ UVY = 180 - 122∴  ∠ UVY = 58∴ ∠ V = 58°