Determine the measures of the complementary angles in the figure shown.

Remember that complementary angles add up to 90 degrees.

2x degrees and x degrees

Step 1: Set up an equation and solve for x

Step 2: Find the value of the angles.

Step 1:

2x + x = 90
3x = 90
x = 30

Step 2:
2x = 2(30) = 60 degrees
x = 30 degrees

Therefore, the measures of the complementary angles are 30 degrees and 60 degrees.