Question

An obtuse angles formed by two adjacent angles with measures X subtract five and 3X if the resulting angle measure is 107 what is the angle measure of each of the two unknown Ingles round to the nearest whole number?

Answer 1

The two adjacent angles are on a straight line. One angle has a measure of 5X subtract 28 and the other has an angle has a measure of 8X what is the measure of the second

Answer 2

Let's call the measure of the first angle "x" and the measure of the second angle "3x-5".
According to the problem, the sum of these two angles results in an obtuse angle measuring 107 degrees. Thus, we can set up the equation:
x + (3x-5) = 107.
Solving this equation will give us the value of "x".
Combining like terms, we get:
4x - 5 = 107.
Adding 5 to both sides:
4x = 112.
Finally, dividing both sides by 4, we find that x = 28.
Therefore, the measure of the first angle is 28 degrees, and the measure of the second angle is 3(28) - 5 = 79 degrees.

Answer 3

If the two adjacent angles are on a straight line, their sum should equal 180 degrees.
Let's call the measure of the first angle "5X - 28" and the measure of the second angle "8X".
So, we can set up the equation:
(5X - 28) + 8X = 180.
Combining like terms, we get:
13X - 28 = 180.
Adding 28 to both sides:
13X = 208.
Finally, dividing both sides by 13, we find that X = 16.
Thus, the measure of the second angle is:
8X = 8 * 16 = 128 degrees.