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Question
the measures of the angles of a triangle are shown in the figure below. solve for x.
(figure of a triangle with angles x°, 112°, 27°)
answer attempt 1 out of 2
x =
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Step1: Recall triangle angle sum
The sum of angles in a triangle is \(180^\circ\). So, \(x + 27 + 112 = 180\).
Step2: Simplify and solve for x
First, add \(27\) and \(112\): \(27 + 112 = 139\). Then, \(x + 139 = 180\). Subtract \(139\) from both sides: \(x = 180 - 139 = 41\).
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\(x = 41\)