Question

Use the figure to select a pair of adjacent angles and complete the description for why they are adjacent. OT Р Q S U R N A pair of adjacent angles are ZSUR and _(select). They are adjacent because they (select) W​

Answer 1

∡SUR is adjacent to ∡RUN or ∡SUT

Explanation:

all three angles share the same vertex (point U)

Answer 2

A pair of adjacent angles are ∠SUR and ∠RUT. They are adjacent because they share a common vertex U, a common side UR, and their non-common sides SU and UT lie on opposite sides of the common side.

Let's follow the steps to determine a pair of adjacent angles and explain why they are adjacent:

1. Identify Adjacent Angles: Adjacent angles are two angles that have a common vertex and a common side, but do not overlap. From the figure, we can see that angle SUR shares a common vertex U and a common side UR with angle RUT. Therefore, angles SUR and RUT are adjacent.

2. Explain Why They Are Adjacent: Angles SUR and RUT are adjacent because they share a common vertex (U), a common side (UR), and their non-common sides (SU and UT) are on opposite sides of the common side.