Question

In the given figure, TUII SR and TRIISV, then find La and Lb

Please somebody help me out of this question.

Please explain the answer to me ​

Answer 1

Answer:

115° and 40° respectively

Step-by-step explanation:

Please see diagram attached

By transversal laws,

∠UTR + ∠TRS = 180°                (Angles on same side of transversal)

∠TRS = 180 - 90 = 90°

∠TRS + ∠RSV = 180°                (Angles on same side of transversal)

∠RSV = 90°

∠UWR = 90 + 25 = 115°                        (Exterior angle property)

a = ∠UWR = 115°                          (Corresponding angles)

∠PRQ = ∠TRS = 90°                                (Vertically opposite angles)

b = 180° - 50° - 90° = 40°                   (Angle sum property)

Thus, a = 115° and b = 40°

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