Question

An angle is 26.2° more than its complementary angle what is the measure of each angle

Answer 1

Answer:

58.1 and 31.9 degrees

Step-by-step explanation:

x + other angle = 90 because complementary angles add up to 90

x = the angle

x = 26.2 more than the other angle

subtract 26.2 from both sides

x - 26.2 = other angle

x + other angle = 90

plug x - 26.2 for other angle

x + (x-26.2) = 90

2x - 26.2 = 90

add 26.2 to both sides to isolate the variable and its coefficient

2x = 116.2

divide both sides by 2 to find x

x = 58.1

other angle = x - 26.2 = 31.9