Question

In the given figure, PQ = PS, find the value of , if angle PRS = 45o​

Answer 1

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Answer 2

Answer:

x= 25°

Step-by-step explanation:

110° + angle PQS = 180° { linear pair}

angle PQS = 70°

PQ=PS { Given }

angle PQS= angle PSQ { Angle opposite to equal sides are equal }

angle PSQ= 70°

angle PSQ + angle PSR= 180° { Linear Pair}

70° + angle PSR = 180°

angle PSR= 110°

In ∆PSR,

angle PSR + angle PRS + angle RPS = 180° { Angle sum property of Triangles }

x° + 110°+ 45°=180°

x°+155°=180°

x= 25°