Determine the measures of the complementary angles in the figure shown.
Remember that complementary angles add up to 90 degrees.
Step 1: Set up an equation and solve for x
Step 2: Find the value of the angles.
Marked Angle Measure (in degrees)
Let the measure of the larger angle be x degrees.
The complementary angle to the larger angle would be 90 - x degrees.
Since the two angles are complementary, we have:
x + 90 - x = 90
Solving for x, we get:
x + 90 - x = 90
90 = 90
Therefore, x = 0
So the larger angle is 0 degrees and the complementary angle is 90 degrees.