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

March 27, 2021 | education

| 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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