An obtuse angle is formed by two adjacent angles with measures (x - 5) and (3x) . If the resulting angle measure is 107 , what is the angle measure of each of the two unknown angles? Round to the nearest whole number.

Answer 1

Let's call the unknown angles A and B. We know that the sum of the two adjacent angles is 107, so A + B = 107.

We also know that the measure of one of the angles is x - 5, and the measure of the other angle is 3x. So we can write two equations:

A = x - 5
B = 3x

Substituting the values of A and B into the equation A + B = 107, we get:

x - 5 + 3x = 107
4x - 5 = 107
4x = 112
x = 28

Now we can substitute the value of x back into the equations to find A and B:

A = 28 - 5 = 23
B = 3(28) = 84

So the two unknown angles are approximately 23 and 84 degrees.