Question

fghi ≅ uvst, what is m∠f?
i
60°
t
u
103°
h
f
94°
g
s
v
m∠f = °
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Explanation:

Step1: Recall the property of similar quadrilaterals

Similar quadrilaterals have corresponding angles equal. The sum of interior angles of a quadrilateral is \(360^{\circ}\).

Step2: Set up the equation for angle sum

For quadrilateral \(FGHI\) and \(UVST\), let \(m\angle F = x\).
We know that in \(FGHI\), \(m\angle I = 60^{\circ}\), \(m\angle G=94^{\circ}\), and in \(UVST\), \(m\angle U = 103^{\circ}\).
Using the angle - sum formula for quadrilaterals \(x + 60^{\circ}+94^{\circ}+103^{\circ}=360^{\circ}\)

Step3: Solve for \(x\)

$$
LATEXBLOCK0
$$

Answer:

\(103\)