Question

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Answer 1

Answer:

x = 150°

Step-by-step explanation:

Given,

PQX = 100° , QRS = 50° and QST = x

Now,

RQS = PQX (vetically opp. angles)

RQS = 100°

Also,

RQS + SRQ + QSR = 180° (angle sum property)

100° + 50° + QSR = 180°

QSR = 180° - 150°

QSR = 30°

Now,

QSR + QST = 180° (linear pair axiom)

x = 180° - 30°

therefore,

x = 150°