One of the adjacent corners is 12 degrees larger than the other. Find the degree measure of the larger angle.

Adjacent angles make up the swept angle and the sum of the adjacent angles 180 °.

Let’s denote the smaller angle by x and create an equation for their sum.

x + x + 12 = 180.
2x = 180 – 12:
x = 168/2;
x = 84 °.
84 + 12 = 96 °.

Answer: The larger of two adjacent angles is 96 °.



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