5. Finding Unknown Angle Measures
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If kthe angles in the diagram make up a straight line, we know that they are supplementary.
Classification: Supplementary angles.
Value of x: 95
Because the angles in the diagram make up a straight line, we know that they are supplementary. Since the angles are supplementary, we know that the sum of their measures should equal 180^(∘). We can solve for x by creating an equation using the expressions for the two smaller angles and their sum. 85^(∘) + x^(∘) = 180^(∘) ⇒ x^(∘) = 95^(∘)