Question

in the diagram, what is ( mangle vsr )?
( mangle vsr = square^circ )

Explanation:

Step1: Identify supplementary angles

Angles ∠VSU and ∠VSR are supplementary (they form a linear pair), so their sum is \( 180^\circ \).
Given \( m\angle VSU = 100^\circ \).

Step2: Calculate \( m\angle VSR \)

Using the supplementary angle property: \( m\angle VSR = 180^\circ - m\angle VSU \)
Substitute \( m\angle VSU = 100^\circ \): \( m\angle VSR = 180^\circ - 100^\circ = 80^\circ \)

Answer:

\( 80^\circ \)