Find angles adjacent to angles 30 degrees, 45 degrees, 60 degrees, and 90 degrees

Adjacent angles are angles, one side of which is common, and the other two are additional rays. Together, these angles form an unfolded angle (an angle of 180 degrees).

Since the sum of adjacent angles is 180 degrees, the angle adjacent to the angle ∠1 = 30 degrees is:

∠2 = 180 ° – ∠1;

∠2 = 180 ° – 30 ° = 150 °.

Angle adjacent to angle ∠1 = 45 degrees:

∠2 = 180 ° – ∠1;

∠2 = 180 ° – 45 ° = 135 °.

Angle adjacent to angle ∠1 = 60 degrees:

∠2 = 180 ° – ∠1;

∠2 = 180 ° – 60 ° = 120 °.

Angle adjacent to angle ∠1 = 90 degrees:

∠2 = 180 ° – ∠1;

∠2 = 180 ° – 90 ° = 90 °.