Question

question 1 - 14
in the diagram above ( \triangle fghcong\triangle str ). using the information on given sides and angles, find the values of ( x ) and ( y ).
( x=)
( y=)

Explanation:

Step1: Use the property of congruent triangles (corresponding angles are equal)

Since \(\triangle FGH\cong\triangle STR\), then \(\angle T=\angle F\). So \(x = 61\)

Step2: Use the property of congruent triangles (corresponding sides are equal)

Since \(\triangle FGH\cong\triangle STR\), then \(FG = ST\). So \(7y-21=3y + 15\)
\(7y-3y=15 + 21\)
\(4y=36\)
\(y = 9\)

Answer:

\(x = 61\), \(y=9\)