The measure of (Angle) A is 4 degrees greater than the measure of (Angle) B. The two angles are complementary. Find the measure of each angle.
(I tried 41+45 but that didn't work out, anyone got any steps to solve this?)
let the smaller be x
then the larger is x+4
so x + x+4 = 90
2x = 86
x = 43
so how about 43 and 47.
Did you skip that pair ? You knew the were only 4 apart, so just about equal and half of 90 is 45 , so ....
Ms. Sue, I'm very well aware a complementary angle is 90 degrees. But I need help with HOW to get 90. Should I just try various methods and guess?
To solve this problem, let's start by assigning variables to the unknown angles. Let's say that the measure of Angle B is x degrees.
According to the problem, the measure of Angle A is 4 degrees greater than Angle B. So, the measure of Angle A can be expressed as (x + 4) degrees.
The problem also states that the two angles are complementary. Complementary angles add up to 90 degrees.
So, we can set up the equation:
x + (x + 4) = 90
Now, let's solve for x to find the measure of Angle B:
2x + 4 = 90 (combine like terms)
2x = 86 (subtract 4 from both sides)
x = 43 (divide both sides by 2)
Now that we have the measure of Angle B, we can find the measure of Angle A:
A = x + 4
A = 43 + 4
A = 47
Therefore, the measure of Angle B is 43 degrees, and the measure of Angle A is 47 degrees.
OH WAIT, I tried this method.
90 - 4 = 86/2 = 43 + 47
Should I use this for future purposes?