Writing expressions for "one angle is 22 less than...&q

1. One angle is 22 less than its complement.

2.A right triangle has acute angles whose measures are in the ratio 1:5. Find the measure of the angles.

I need help on knowing how to set it up.

[steve_b]

1. One angle is 22 less than its complement.

2.A right triangle has acute angles whose measures are in the ratio 1:5. Find the measure of the angles.

I need help on knowing how to set it up.

_________________

1) Complementary angles add up to 90 degrees. If we let one angle be x degrees, then the other is x - 22 degrees. Adding them should give 90 degrees, so:

x + x - 22 = 90

Solve for x to get one angle, then subtract 22 from it to get the other.

2) The acute angles of a right triangle add up to 90 degrees. If we let x equal the smaller angle, then the other angle is 5x. So we can write:

x + 5x = 90

Solve for x to get the smaller angle, then multiply it by 5 to get the other.

Hope that helps...

Steve