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problem 7: lesson 50) select all of the consecutive and opposite angles…

Question

problem 7: lesson 50) select all of the consecutive and opposite angles of quadrilateral dprt. a b c d e consecutive angles: \\( \angle p \\) and \\( \angle r, \angle t \\) and \\( \angle d \\) opposite angles: \\( \angle d \\) and \\( \angle p, \angle r \\) and \\( \angle t \\)

Explanation:

Step1: Recall the definition of consecutive angles

Consecutive angles in a quadrilateral are angles that share a common side. In quadrilateral \(DPRT\), \(\angle P\) and \(\angle R\) share side \(PR\), \(\angle T\) and \(\angle D\) share side \(DT\).

Step2: Recall the definition of opposite angles

Opposite angles in a quadrilateral do not share a common side. In quadrilateral \(DPRT\), \(\angle D\) and \(\angle P\) do not share a common side, \(\angle R\) and \(\angle T\) do not share a common side.

Answer:

A. Consecutive angles: \(\angle P\) and \(\angle R\), \(\angle T\) and \(\angle D\); Opposite angles: \(\angle D\) and \(\angle P\), \(\angle R\) and \(\angle T\)