The measure of an angle

Question

Find the measure of an angle whose complement is twenty-nine times its measure.

Answer 1

Let x be the angle. Its complement is 29 times greater, or 29x. Complementary angles sum to 90°:

x + 29x = 90°

Solve for x.

Answer 2

Find the measure of an angle whose complement is twenty-nine times its measure.

Complementary angles add up to a measure of 90 degrees.

So let's use "x" for the unknown angle.

"complement is 29 times its measure" can be written as 29x

So the equation is x+29x=90

Combine like terms and solve for x to get your answer.