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Find the value of 𝑥.
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We’re given two angles on a straight line.
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We’re given the measurement of the first angle, which is 107 degrees, but we don’t know the measurement of angle 𝑥.
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You may have spotted that these two angles are on a straight line.
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We call two angles like this supplementary angles.
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They always add together to total 180 degrees.
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So, we know the sum of the given angle, 107 degrees, plus 𝑥 total 180 degrees.
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We can use the inverse to help us find the answer.
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180 degrees take away 107 degrees equals the measurement of angle 𝑥.
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180 take away 107 equals 73.
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So, the value of 𝑥 is 73.
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We realized our two angles are supplementary angles, whose sum is 180 degrees.
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So, to find the value of 𝑥, we subtracted 107 degrees from 180 to give us our answer of 73.