the angles are adjacent and form an angle measuring 140 degrees. the measure of the smaller is 28 degrees less than the measure of the larger.
The larger angle = x
x + x - 28 = 140
2x = 168
x = 84
What is your question?
the angles are adjacent and form an angle measuring 140 degrees. the measure of the smaller is 28 degrees less than the measure of the larger.
what are there measures??
To solve this problem, let's denote the measure of the larger angle as "x" degrees.
According to the given information, the measure of the smaller angle is 28 degrees less than the measure of the larger angle. So, the measure of the smaller angle can be expressed as "x - 28" degrees.
Now, we know that the sum of the measures of adjacent angles is 140 degrees. Therefore, we can set up the equation:
x + (x - 28) = 140
Simplifying the equation, we have:
2x - 28 = 140
Next, we can isolate the variable "x" by adding 28 to both sides of the equation:
2x = 140 + 28
2x = 168
Finally, dividing both sides of the equation by 2 gives us:
x = 168 / 2
x = 84
Hence, the measure of the larger angle is 84 degrees.
To find the measure of the smaller angle, we substitute this value of "x" back into the expression "x - 28":
smaller angle = x - 28 = 84 - 28 = 56 degrees
Therefore, the measure of the smaller angle is 56 degrees.