PQ is parallel to RS and PR is parallel to QS, If ∠LPR = 35°

• Geometry

In the figure given below, PQ is parallel to RS and PR is parallel to QS, If ∠LPR = 35° and ∠UST = 70°, then what is ∠MPQ equal to?

1. 55°
2. 70°
3. 75°
4. 80°

Answer

∠LPR = 35°

Since ∠UST = 70°, So ∠QSR = 70°

Now, ∠SQP = 180° - 70° = 110°

So, ∠QPR = 70°

∠MPQ = 180° - ∠LPR - ∠QPR

∠MPQ = 180° - 35° - 70° = 75°

The correct option is C.