the measure of an angle is 27 less than twice the measure of it complement.Find the measure of each angle
what would the equation be
Let one angel be x
let its complementary angle by 90-x
2x-27 = 90-x
3x = 117
x = 39
one angle is 39 , the other is 51
Let's call the measure of the angle x. The complement of the angle would then be (90 - x).
According to the given information, the measure of the angle is 27 less than twice its complement.
So, the equation would be:
x = 2(90 - x) - 27
Simplifying this equation, we have:
x = 180 - 2x - 27
Combining like terms:
x + 2x = 180 - 27
3x = 153
Dividing both sides by 3:
x = 51
Therefore, the measure of the angle is 51 degrees. The complement of the angle would be (90 - 51), which is 39 degrees.
Let's assume the measure of the angle is x.
The complement of the angle would be 90 - x, as the sum of an angle and its complement is always 90 degrees.
According to the given information, the measure of the angle is 27 less than twice the measure of its complement.
So, we can write the equation as:
x = 2(90 - x) - 27
This equation states that the measure of the angle (x) is equal to twice the measure of its complement (2(90 - x)), minus 27.
Now, we can solve this equation to find the value of x, which will give us the measure of the angle.
To find the equation for this problem, we need to understand what is being described.
Let's say the measure of the angle is "x". The complement of the angle is the angle that, when added to the given angle, equals 90 degrees.
According to the problem, the measure of the angle is 27 less than twice the measure of its complement. This can be expressed as:
x = 2(90 - x) - 27
Let's break it down:
- "90 - x" represents the measure of the complement angle (90 degrees minus the given angle).
- "2(90 - x)" means twice the measure of the complement angle.
- Finally, subtracting 27 from twice the measure of the complement angle gives the measure of the given angle.
From this equation, we can solve for x, which will give us the measure of the angle.