Subjects geometry

Angle Types 755E4C

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1. The problem asks to identify the type of angles formed by angle 4 and angle 5 in the given diagram with two parallel lines $m$ and $n$ cut by a transversal $p$. 2. Important rules for angles formed by a transversal with parallel lines: - **Corresponding angles** are on the same side of the transversal and in corresponding positions. - **Alternate interior angles** are on opposite sides of the transversal and inside the parallel lines. - **Alternate exterior angles** are on opposite sides of the transversal and outside the parallel lines. - **Same-side interior angles** are on the same side of the transversal and inside the parallel lines. - **Same-side exterior angles** are on the same side of the transversal and outside the parallel lines. 3. From the description: - Angle 4 is at the intersection of line $n$ and transversal $p$, located at the top right (outside the parallel lines). - Angle 5 is at the intersection of line $m$ and transversal $p$, located at the bottom left (outside the parallel lines). 4. Since angles 4 and 5 are on opposite sides of the transversal $p$ and both lie outside the parallel lines $m$ and $n$, they are **alternate exterior angles**. 5. Therefore, the correct answer is: $$\boxed{\text{D) Alternate-exterior}}$$