Question

if m∠rxu = 67°, then what is m∠uxs? (there is a diagram with lines intersecting at points x and y, labeled with angles and directions.) answer attempt 1 out of 2 m∠uxs = °

Explanation:

Step1: Identify Angle Relationship

∠RXU and ∠UXS are supplementary angles (they form a linear pair), so their measures add up to \( 180^\circ \).

Step2: Calculate \( m\angle UXS \)

Given \( m\angle RXU = 67^\circ \), use the supplementary angle formula: \( m\angle UXS = 180^\circ - m\angle RXU \).
Substitute the value: \( m\angle UXS = 180^\circ - 67^\circ = 113^\circ \).

Answer:

\( 113^\circ \)