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Look at the figure below:

Guide :Middle School

Look at the figure below:

Look at the figure below: Triangle PQR has the measure of angle PRQ equal to 30 degrees. S is a point on side PR. Points Q and S are joined by a straight line. Angle PQS measures 30 degrees.
Angle RPQ = angle SPQ                    (common angle to both triangles)angle PRQ = angle PQS                    (given)Hence, angle PQR = angle PSQ        (sum of angle of a triangle is 180 degrees)Since the angles of both triangles are equal, then the two triangles are similar. ...

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