Question 90732
To start off, complementary angles equal 90 degrees together.
In this problem:
Angle 2 = x
Angle 1 = 2x + 21 (because it's 2 times the measure of Angle 2 plus 21)
So - 
x + 2x + 21 = 90
[Group like terms]
3x + 21 = 90
[Subtract 21 from both sides]
3x = 69
[Divide both sides by 3]
x = 23
So Angle 2 = 23 degrees.
Then, you "plug and chug".
Angle 1 = 2(23) + 21
Angle 1 = 46 + 21
Angle 1 = 67 degrees.
Check your answer to make sure it's correct.
67 + 23 = 90
Your answer is correct!