One of the adjacent corners is 3 times the size of the other. What is the smaller angle?

In order to find the smaller of the given angles, we will compose and solve the equation. We’ll start by remembering what the sum of adjacent angles is equal to.

The sum of adjacent angles is 180 °. We denote by x ° the degree measure of the smaller angle, then the degree measure of the larger angle is 3x °.

We get the following equation:

x ° + 3x ° = 180 °;

We solve the resulting linear equation:

4x ° = 180 ׄ °;

x = 180 ׄ °: 4;

x = 45 ° is the smaller angle and 3 * 45 ° = 135 ° is the larger of the adjacent angles.

Answer: 45 ° is the smaller of the adjacent angles and 135 ° is the larger of them.

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