# Two angles are complementary.

• Jan 21st 2010, 06:49 PM
bball20
Two angles are complementary.
Two angles are complementary. The sum of the measure of the first angle and half the second angle is 68 degrees. Find the measures of the angles:

What is the measure of the smaller angle?
What is the measure of the other angle?
• Jan 21st 2010, 06:56 PM
skeeter
Quote:

Originally Posted by bball20
Two angles are complementary. The sum of the measure of the first angle and half the second angle is 68 degrees. Find the measures of the angles:

What is the measure of the smaller angle?
What is the measure of the other angle?

let $a$ and $b$ represent the measure of the two angles.

$\textcolor{red}{a+b = 90}$

$\textcolor{blue}{a + \frac{b}{2} = 68}$

solve.
• Jan 21st 2010, 06:56 PM
emathinstruction
Quote:

Originally Posted by bball20
Two angles are complementary. The sum of the measure of the first angle and half the second angle is 68 degrees. Find the measures of the angles:

What is the measure of the smaller angle?
What is the measure of the other angle?

We know the angles sum to 90. Let x be the measure of the first angle and y be the measure of the second angle.

So $x+y=90$
Also, the measure of the first angle (x) and half the second angle (.5y) is 68

So $x+.5y=68$

can you solve those equations
• Jan 21st 2010, 07:21 PM
bball20
Thanks!

Small one is 44
other is 46