Q149 of 160 Page 144

In parallelogram FIST. Find SFT, OST and STO.

Given, ∠TOF,∠TIS and ∠TIF

⟹In ∆TOF,

∠T + ∠O + ∠F = 180

25 + 110 + ∠SFT = 180

∠SFT = 180-135

∠SFT = 45

⟹In ∆TOS,

∠T + ∠O + ∠S = 180

35 + (180-110) + ∠OST = 180

35 + 70 + ∠OST = 180

∠OST = 180-105

∠OST = 75

∠STO = ∠T(in triangle SOT) = 35

147

In parallelogram PQRS. O is the mid-point of SQ. Find ∠S, ∠R. PQ, Qr and diagonal PR.

148

In rhombus BEAM. Find AME and AEM.

150

In the given parallelogram YOUR, ∠RUO = 120° ad OY is extended to point S such that ∠SRY = 50°. Find ∠YSR.

151

In kite WEAR, ∠WEA = 70° and ∠ARW = 80°. Find the remaining two angles.