Step-by-step explanation:Firstly, we have to find m∠J.Since all the angles of a Δ equal 180°, angles J, L, and K should have a sum of 180°.So, m∠J + m∠L + m∠K = 180°The diagram shows us that ∠L = 49° and ∠K = 90°, so we plug in those numbers in the equation.m∠J + 49° + 90° = 180°Then we simplifym∠J + 139° = 180°Subtract 139° to both sides∠J = 41Now the other angles.Since ΔJKL ~ ΔRST, then ∠J ≅ ∠R, ∠K ≅ ∠S, and ∠L ≅ ∠TMeaning, m∠J = m∠R, m∠K = m∠S, and m∠L = m∠TSince we know m∠J = 41°, m∠K = 90°, and m∠L = 49° we could plug those in so...41° = m∠R , 90° = m∠S , and 49° = m∠T