Calculate the degree measures of angles if the adjacent angles are 1: 9.

Let the smaller of the angles be x, then the larger one is 9x, because by condition the angles are related as 1: 9, and x: 9x = 1: 9 Knowing that the sum of adjacent angles is 180 degrees, we can write an equation. x + 9x = 180
10x = 180
x = 18 degrees – smaller angle
9x = 162 degrees – larger angle



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