# Thread: Solving for angles - Thank You

1. ## Solving for angles - Thank You

Two angles are complementary

The sum of the measure of the first angle and 1/4 of the second angle is 62.25 degrees

What is the measure of the small angle?

what is the measure of the other angle?

I tried, I really did, I know an angle is 90 degrees so x + y = 90 degrees

Please help me with the rest, how do I figure out + 1/4 of the second angle to equal 62.25 degrees?

2. given
Two angles are complementary
let two complementary are x and y
$\displaystyle \therefore x + y = 90$ ....(1)

according to second statement
The sum of the measure of the first angle and 1/4 of the second angle is 62.25 degrees

$\displaystyle x+\frac{1}{4} y=$
$\displaystyle 62.25$
or
$\displaystyle 4x+y=249$ ........(2)

solve the equation (1) and (2)

3. Where did you get the 249 from on equation number (2)

4. Hello OneidaFL
Originally Posted by OneidaFL
Where did you get the 249 from on equation number (2)
Multiply both sides of the equation $\displaystyle x + \frac14y = 62.25$ by $\displaystyle 4$.

On the right-hand side, $\displaystyle 62.25 \times 4 = 249$.