An obtuse angle is formed by two adjacent angles with measure of x minus five and three x if the resulting angle measures a hundred and seven, what is the angle measure of each ofther two unknown angles

Answer 1

Let's assume the two adjacent angles have measures of x - 5 and 3x.

Since the obtuse angle is formed by these two adjacent angles, we can add their measures together to find the measure of the obtuse angle:

(x - 5) + (3x) = 107

Combining like terms, we have:

4x - 5 = 107

Next, we will isolate the term with x by adding 5 to both sides:

4x = 107 + 5

Simplifying further:

4x = 112

Now divide both sides by 4 to solve for x:

x = 112/4

x = 28

Now we can substitute the value of x back into the expressions for the two adjacent angles:

x - 5 = 28 - 5 = 23

3x = 3(28) = 84

Therefore, the two unknown angles have measures of 23 and 84.