Step 1:
complementary angles: Angles that sum up to 90 degrees.
Supplementary angles: Angles that sum up to 180 degrees.
Step 2:
The two angles meet form a right angle
A right angle is 90 degrees
The first angle is x-30
The second angle is x
Since they add up to 90 degrees, they are complementary
To solve for x
• Add both angles and equate to 90
x + (x-30) =90
x + x - 30 = 90
2x -30 = 90
• Collect like terms
2x = 90 + 30
2x = 120
Divide both sides by 2
x =120/2
x = 60
The angles are complementary