Sure! Here are some examples of equations with complementary angles and their respective solutions:
1) Find the values of x and y if they are complementary angles and x = 30 degrees.
Solution: Since x and y are complementary angles, their sum must be equal to 90 degrees. Therefore, y = 90 - x = 90 - 30 = 60 degrees.
2) If angle A and angle B are complementary angles and A = 40 degrees, find the value of B.
Solution: We know that A + B = 90 degrees because they are complementary angles. Thus, B = 90 - A = 90 - 40 = 50 degrees.
3) The measure of one of the complementary angles is 35 degrees. Find the measure of the other angle.
Solution: Let x be the measure of the other angle. Since the angles are complementary, we have x + 35 = 90. Solving for x, we get x = 90 - 35 = 55 degrees.
4) Two angles are complementary. The measure of one angle is 20 more than three times the measure of the other angle. Find the measures of the angles.
Solution: Let x be the measure of one angle and y be the measure of the other angle. We know that x + y = 90 (complementary angles). Given that x = 3y + 20, we substitute this expression into the first equation: (3y + 20) + y = 90. Solving for y, we get y = 70/4 = 17.5 degrees. Plugging this value back into the equation x = 3y + 20, we find x = 3(17.5) + 20 = 72.5 degrees.
Please note that complementary angles always add up to 90 degrees, so you can use this information to solve equations involving them.
Solve equations with complementary angles, practice answers
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