Question

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

Explanation:

Step1: Use the linear - pair relationship

Angles \(\angle VSU\) and \(\angle VSR\) form a linear pair. The sum of angles in a linear pair is \(180^{\circ}\). So, \(m\angle VSU + m\angle VSR=180^{\circ}\).

Step2: Substitute the value of \(m\angle VSU\)

Given \(m\angle VSU = 100^{\circ}\). Then \(100^{\circ}+m\angle VSR = 180^{\circ}\).

Step3: Solve for \(m\angle VSR\)

Subtract \(100^{\circ}\) from both sides of the equation: \(m\angle VSR=180^{\circ}- 100^{\circ}\).

Answer:

\(80\)