Multiple Choice
Given a triangle where two of the angles measure and , what is the approximate measure of the third angle in degrees?
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1. Measuring Angles
Angles in Standard Position
Multiple Choice
Given an angle of in standard position, which of the following angles is coterminal with it?
A
B
C
D
Verified step by step guidance1
Recall that two angles are coterminal if they differ by a full rotation, which is \(360^\circ\) or multiples of \(360^\circ\).
To find angles coterminal with \(60^\circ\), add or subtract \(360^\circ\) multiples: \(60^\circ + 360^\circ \times k\), where \(k\) is any integer.
Check each given angle to see if it can be expressed as \(60^\circ + 360^\circ \times k\) for some integer \(k\).
For example, to check if \(420^\circ\) is coterminal with \(60^\circ\), calculate \(420^\circ - 60^\circ = 360^\circ\), which is exactly one full rotation, so they are coterminal.
Angles like \(180^\circ\), \(30^\circ\), and \(120^\circ\) do not differ from \(60^\circ\) by a multiple of \(360^\circ\), so they are not coterminal.
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