Question

find the value of the variable \b\, given that the transformation is an isometry. encuentra el valor de la variable \b\, dado que la transformación es una isometría. image of two quadrilaterals with angles 125°, a°, sides 12, 8c; and 42°, 5b°, sides 32, d. answer box, previous, next

Explanation:

Step1: Recall Isometry Property

Isometry (rigid transformation) preserves angle measures. So the angle \(125^\circ\) in the first quadrilateral corresponds to \(5b^\circ\) in the second.
\[5b = 125\]

Step2: Solve for \(b\)

Divide both sides by 5:
\[\frac{5b}{5}=\frac{125}{5}\]
\[b = 25\]

Answer:

25