Look at the figure shown below:

A triangle RPQ is shown. S is a point on side PQ and T is a point on side PR. Points S and T are joined using a straight line. The length of PS is equal to 28, the length of SQ is equal to 2x, the length of PT is equal to 35 and the length of TR is equal to 60.

Rita is writing statements as shown to prove that if segment ST is parallel to segment RQ, then x = 24.

Question

Look at the figure shown below:

A triangle RPQ is shown. S is a point on side PQ and T is a point on side PR. Points S and T are joined using a straight line. The length of PS is equal to 28, the length of SQ is equal to 2x, the length of PT is equal to 35 and the length of TR is equal to 60.

Rita is writing statements as shown to prove that if segment ST is parallel to segment RQ, then x = 24.

anonymous · Answer

someone help please

anonymous · Answer

He assumes that triangle DPC has all sides equal.
 He assumes that triangle APB is an equilateral triangle.
 He assumes that the triangles are congruent by the SAS postulate.
 He assumes that angle ADC measures 90°.