gles and Measures $$ \begin{array}{l}\text { Find the angle of least positive measure that is coterminal with } \mathrm{A} \text {. } \ \qquad-206^{\circ} \ \text { The measure is } \square^{\circ} \text {. } \ \text { (Simplify your answer. Type an integer or a fraction.) }\end{array} \text { : T.1.29, } $$

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We wish to find the least positive measure coterminal with $$-206^\circ$$. Two angles are coterminal if they differ by an integer multiple of $$360^\circ$$. This means we want an angle $$\theta$$ that satisfies

$$
\theta = -206^\circ + 360^\circ k
$$

for some integer $$k$$.

Since we need the least positive angle, we start with $$k = 1$$:

$$
\theta = -206^\circ + 360^\circ = 154^\circ.
$$

Thus, the angle of least positive measure that is coterminal with $$-206^\circ$$ is $$\boxed{154^\circ}$$.
The least positive angle coterminal with $$-206^\circ$$ is $$154^\circ$$.

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