One of the adjacent angles is 46 degrees. How many degrees is the second adjacent angle greater than the first?

Let’s take advantage of the fact that any two adjacent angles add up to a deployed angle, or, in other words, the sum of the values of two adjacent angles is always 180 °.

Let us denote by x the value of the unknown adjacent angle.

In the formulation of the condition for this task, it is reported that one of the two given adjacent angles is 46 °, therefore, we can draw up the following equation:

x + 46 = 180,

solving which, we get:

x = 180 – 46 = 134 °.

We find how much the 2nd angle is greater than the 1st:

134 – 46 = 88 °.

Answer: 88 °.

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