Pergunta

Find the angle of least positive moasure(in degrees, not equal to the given measure) that is cotorminal with A. A=530^circ The measure is square ^circ
Solução

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ZuleideProfissional · Tutor por 6 anos
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To find the angle of least positive measure that is coterminal with \( A = 530^\circ \), we need to subtract multiples of \( 360^\circ \) from \( 530^\circ \) until the result is within the range of \( 0^\circ \) to \( 360^\circ \).<br /><br />First, let's determine how many full circles (\( 360^\circ \)) are contained in \( 530^\circ \):<br /><br />\[ 530^\circ \div 360^\circ = 1 \text{ R } 170^\circ \]<br /><br />This means that \( 530^\circ \) is equivalent to \( 1 \times 360^\circ + 170^\circ \).<br /><br />So, we subtract \( 360^\circ \):<br /><br />\[ 530^\circ - 360^\circ = 170^\circ \]<br /><br />Thus, the angle of least positive measure that is coterminal with \( 530^\circ \) is \( 170^\circ \).<br /><br />The measure is \( \boxed{170} \) degrees.
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