Multiple Choice
Given a triangle where two of the angles measure and , what is the approximate measure of the third angle in degrees?
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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