Question

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Answer 1

Answer:

measure of ∠Q is 40°

Step-by-step explanation:

let PQ =  x

QS = y

ST = QS = y

in triangle PQT

PS ⊥ QT , QS = ST

Therefore , PQT is an isosceles triangle

now , PQ= PT = x = TR

PTR is also a isosceles triangle

let

therefore ,

hence , measure of ∠Q is 40°

#Learn more :

PQR is a right triangle right angled at Q and QS perpendicular to PR. If PQ=10cm and PS=8cm. Find QS ,SR and QR

hope it helps :))