The degree measure of one of the adjacent angles is 140% of the degree measure of the other. Find a smaller angle.

univerkov | May 27, 2021 | education

Adjacent angles have a measure of 180 degrees.

Let us express 140% as a decimal:

140% = 1.4.

Let one of the adjacent angles be x degrees, then the second 1.4x degrees. Let’s compose and solve the equation:

x + 1.4x = 180;

2.4x = 180;

x = 180: 2.4;

x = 75 (degrees) – smaller angle.

Answer: the smaller angle is 75∘.

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