Question

1. <f=?

make sure to put the angle measure!
4 given ∆stw ≅ ∆bfn, find each missing measure.
type a response

Explanation:

Step1: Use the property of congruent triangles

Congruent triangles have corresponding angles equal. In \(\triangle STW\cong\triangle BFN\), the sum of angles in a triangle is \(180^{\circ}\).

Step2: Calculate \(\angle F\)

We know that in \(\triangle STW\), \(\angle S = 67^{\circ}\) and in \(\triangle BFN\), \(\angle N=82^{\circ}\).
Using the angle - sum property of a triangle (\(\angle A+\angle B+\angle C = 180^{\circ}\)), for \(\triangle BFN\) (or \(\triangle STW\) since they are congruent), let \(\angle F=\angle W\).
\(\angle F=180^{\circ}-(67^{\circ} + 82^{\circ})\)

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Answer:

\(31^{\circ}\)