\( \angle 4 = 155 ^ { \circ } \)
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Extra Insights
Did you know that angles are a fundamental part of geometry that can tell you a lot about shapes and relationships? For instance, in any triangle, the sum of all three interior angles is always \(180^\circ\). This means if you have one angle as \(155^\circ\), the remaining two will have to add up to \(25^\circ\)! Also, if you're ever confused about which way to measure angles, remember: a full rotation is \(360^\circ\) and an acute angle is less than \(90^\circ\), while an obtuse angle is between \(90^\circ\) and \(180^\circ\). So, your \(155^\circ\) angle is definitely obtuse—perfect for illustrating how angles can vary in measurements!