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How to Find the Measure of Complimentary Angles Using Algebra Step 1: Make sure the angles are complimentary angles. Step 2: Setup a solvable equation. Step 3: Solve the equation. Step 1: Complimentary angles are angles that add up to 90º. In this case we know that ∠1 + ∠2 = 90º because we are told they are complementary. Step 2: Since we know the angles add up to 90º, we can add the two angles and set them equal to 90. 17x + 3 + 9x + 9 = 90 26x + 12 = 90 Step 3: Solve the equation. 26x = 78 Step 3: Don't forget the degree symbol. x = 3 º

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