Question

Find the value of x and y in the following figure

Answer 1

Answer:

x= 37° and y= 53°

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Answer 2

Step-by-step explanation:

By linear pair of angles

angle QRS+ angle QRT=180°

QRS+65=180

Angle QRS=115°

PQ||ST

Angle PQR= angle QRT

28+x°=65

x=37°

Now In triangle PQS

By angle sum property

90°+x+y=180

90+37+y=180

y=53°